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Finding the Third Proportional to 63,429 and 139,413

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Solution

The third proportional to 63,429 and 139,413 is: 306,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,429 : 139,413 = 139,413 : x
  2. Step 2: Convert to fraction form
    63,429/139,413 = 139,413/x
  3. Step 3: Cross multiply
    63,429x = 139,413 × 139,413
  4. Step 4: Simplify right side
    63,429x = 19,435,984,569
  5. Step 5: Solve for x
    x = 19,435,984,569/63,429
  6. Step 6: Final answer
    x = 306,421.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.