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Finding the Third Proportional to 312,905,321.16 and 651,561,428.25

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Solution

The third proportional to 312,905,321.16 and 651,561,428.25 is: 1,356,743,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,905,321.16 : 651,561,428.25 = 651,561,428.25 : x
  2. Step 2: Convert to fraction form
    312,905,321.16/651,561,428.25 = 651,561,428.25/x
  3. Step 3: Cross multiply
    312,905,321.16x = 651,561,428.25 × 651,561,428.25
  4. Step 4: Simplify right side
    312,905,321.16x = 424,532,294,783,179,904
  5. Step 5: Solve for x
    x = 424,532,294,783,179,904/312,905,321.16
  6. Step 6: Final answer
    x = 1,356,743,609.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.