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Finding the Third Proportional to 109,332 and 143,559

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Solution

The third proportional to 109,332 and 143,559 is: 188,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,332 : 143,559 = 143,559 : x
  2. Step 2: Convert to fraction form
    109,332/143,559 = 143,559/x
  3. Step 3: Cross multiply
    109,332x = 143,559 × 143,559
  4. Step 4: Simplify right side
    109,332x = 20,609,186,481
  5. Step 5: Solve for x
    x = 20,609,186,481/109,332
  6. Step 6: Final answer
    x = 188,500.96

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.