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Finding the Third Proportional to 290,056,308,606 and 624,192,472,638

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Solution

The third proportional to 290,056,308,606 and 624,192,472,638 is: 1,343,243,471,484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,056,308,606 : 624,192,472,638 = 624,192,472,638 : x
  2. Step 2: Convert to fraction form
    290,056,308,606/624,192,472,638 = 624,192,472,638/x
  3. Step 3: Cross multiply
    290,056,308,606x = 624,192,472,638 × 624,192,472,638
  4. Step 4: Simplify right side
    290,056,308,606x = 389,616,242,897,940,400,570,368
  5. Step 5: Solve for x
    x = 389,616,242,897,940,400,570,368/290,056,308,606
  6. Step 6: Final answer
    x = 1,343,243,471,484.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.