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Finding the Third Proportional to 77,713.50 and 169,479

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Solution

The third proportional to 77,713.50 and 169,479 is: 369,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,713.50 : 169,479 = 169,479 : x
  2. Step 2: Convert to fraction form
    77,713.50/169,479 = 169,479/x
  3. Step 3: Cross multiply
    77,713.50x = 169,479 × 169,479
  4. Step 4: Simplify right side
    77,713.50x = 28,723,131,441
  5. Step 5: Solve for x
    x = 28,723,131,441/77,713.50
  6. Step 6: Final answer
    x = 369,602.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.