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Finding the Third Proportional to 290,237,898 and 631,491,398.25

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Solution

The third proportional to 290,237,898 and 631,491,398.25 is: 1,373,981,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,237,898 : 631,491,398.25 = 631,491,398.25 : x
  2. Step 2: Convert to fraction form
    290,237,898/631,491,398.25 = 631,491,398.25/x
  3. Step 3: Cross multiply
    290,237,898x = 631,491,398.25 × 631,491,398.25
  4. Step 4: Simplify right side
    290,237,898x = 398,781,386,063,740,096
  5. Step 5: Solve for x
    x = 398,781,386,063,740,096/290,237,898
  6. Step 6: Final answer
    x = 1,373,981,098.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.