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Finding the Third Proportional to 42,180.75 and 67,159.13

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Solution

The third proportional to 42,180.75 and 67,159.13 is: 106,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,180.75 : 67,159.13 = 67,159.13 : x
  2. Step 2: Convert to fraction form
    42,180.75/67,159.13 = 67,159.13/x
  3. Step 3: Cross multiply
    42,180.75x = 67,159.13 × 67,159.13
  4. Step 4: Simplify right side
    42,180.75x = 4,510,348,070.77
  5. Step 5: Solve for x
    x = 4,510,348,070.77/42,180.75
  6. Step 6: Final answer
    x = 106,929.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.