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Finding the Third Proportional to 71,745 and 157,128

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Solution

The third proportional to 71,745 and 157,128 is: 344,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,745 : 157,128 = 157,128 : x
  2. Step 2: Convert to fraction form
    71,745/157,128 = 157,128/x
  3. Step 3: Cross multiply
    71,745x = 157,128 × 157,128
  4. Step 4: Simplify right side
    71,745x = 24,689,208,384
  5. Step 5: Solve for x
    x = 24,689,208,384/71,745
  6. Step 6: Final answer
    x = 344,124.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.