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Finding the Third Proportional to 71,413 and 155,128

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Solution

The third proportional to 71,413 and 155,128 is: 336,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,413 : 155,128 = 155,128 : x
  2. Step 2: Convert to fraction form
    71,413/155,128 = 155,128/x
  3. Step 3: Cross multiply
    71,413x = 155,128 × 155,128
  4. Step 4: Simplify right side
    71,413x = 24,064,696,384
  5. Step 5: Solve for x
    x = 24,064,696,384/71,413
  6. Step 6: Final answer
    x = 336,979.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.