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Finding the Third Proportional to 631,778 and 1,491,413

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Solution

The third proportional to 631,778 and 1,491,413 is: 3,520,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,778 : 1,491,413 = 1,491,413 : x
  2. Step 2: Convert to fraction form
    631,778/1,491,413 = 1,491,413/x
  3. Step 3: Cross multiply
    631,778x = 1,491,413 × 1,491,413
  4. Step 4: Simplify right side
    631,778x = 2,224,312,736,569
  5. Step 5: Solve for x
    x = 2,224,312,736,569/631,778
  6. Step 6: Final answer
    x = 3,520,718.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.