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Finding the Third Proportional to 78,151.50 and 169,587

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Solution

The third proportional to 78,151.50 and 169,587 is: 367,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,151.50 : 169,587 = 169,587 : x
  2. Step 2: Convert to fraction form
    78,151.50/169,587 = 169,587/x
  3. Step 3: Cross multiply
    78,151.50x = 169,587 × 169,587
  4. Step 4: Simplify right side
    78,151.50x = 28,759,750,569
  5. Step 5: Solve for x
    x = 28,759,750,569/78,151.50
  6. Step 6: Final answer
    x = 367,999.98

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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.