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Finding the Third Proportional to 63,374 and 139,348

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Solution

The third proportional to 63,374 and 139,348 is: 306,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,374 : 139,348 = 139,348 : x
  2. Step 2: Convert to fraction form
    63,374/139,348 = 139,348/x
  3. Step 3: Cross multiply
    63,374x = 139,348 × 139,348
  4. Step 4: Simplify right side
    63,374x = 19,417,865,104
  5. Step 5: Solve for x
    x = 19,417,865,104/63,374
  6. Step 6: Final answer
    x = 306,401.13

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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.