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Finding the Third Proportional to 290,713,442 and 446,846,696

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Solution

The third proportional to 290,713,442 and 446,846,696 is: 686,834,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,713,442 : 446,846,696 = 446,846,696 : x
  2. Step 2: Convert to fraction form
    290,713,442/446,846,696 = 446,846,696/x
  3. Step 3: Cross multiply
    290,713,442x = 446,846,696 × 446,846,696
  4. Step 4: Simplify right side
    290,713,442x = 199,671,969,726,116,416
  5. Step 5: Solve for x
    x = 199,671,969,726,116,416/290,713,442
  6. Step 6: Final answer
    x = 686,834,321.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.