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Finding the Third Proportional to 63,376 and 139,352

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Solution

The third proportional to 63,376 and 139,352 is: 306,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,376 : 139,352 = 139,352 : x
  2. Step 2: Convert to fraction form
    63,376/139,352 = 139,352/x
  3. Step 3: Cross multiply
    63,376x = 139,352 × 139,352
  4. Step 4: Simplify right side
    63,376x = 19,418,979,904
  5. Step 5: Solve for x
    x = 19,418,979,904/63,376
  6. Step 6: Final answer
    x = 306,409.05

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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.