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Finding the Third Proportional to 63,506 and 139,466

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Solution

The third proportional to 63,506 and 139,466 is: 306,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,506 : 139,466 = 139,466 : x
  2. Step 2: Convert to fraction form
    63,506/139,466 = 139,466/x
  3. Step 3: Cross multiply
    63,506x = 139,466 × 139,466
  4. Step 4: Simplify right side
    63,506x = 19,450,765,156
  5. Step 5: Solve for x
    x = 19,450,765,156/63,506
  6. Step 6: Final answer
    x = 306,282.32

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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.