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Finding the Third Proportional to 77,352 and 120,588

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Solution

The third proportional to 77,352 and 120,588 is: 187,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,352 : 120,588 = 120,588 : x
  2. Step 2: Convert to fraction form
    77,352/120,588 = 120,588/x
  3. Step 3: Cross multiply
    77,352x = 120,588 × 120,588
  4. Step 4: Simplify right side
    77,352x = 14,541,465,744
  5. Step 5: Solve for x
    x = 14,541,465,744/77,352
  6. Step 6: Final answer
    x = 187,990.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.