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Finding the Third Proportional to 63,506 and 139,468

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Solution

The third proportional to 63,506 and 139,468 is: 306,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,506 : 139,468 = 139,468 : x
  2. Step 2: Convert to fraction form
    63,506/139,468 = 139,468/x
  3. Step 3: Cross multiply
    63,506x = 139,468 × 139,468
  4. Step 4: Simplify right side
    63,506x = 19,451,323,024
  5. Step 5: Solve for x
    x = 19,451,323,024/63,506
  6. Step 6: Final answer
    x = 306,291.11

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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.