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Finding the Third Proportional to 359,930 and 558,759

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Solution

The third proportional to 359,930 and 558,759 is: 867,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,930 : 558,759 = 558,759 : x
  2. Step 2: Convert to fraction form
    359,930/558,759 = 558,759/x
  3. Step 3: Cross multiply
    359,930x = 558,759 × 558,759
  4. Step 4: Simplify right side
    359,930x = 312,211,620,081
  5. Step 5: Solve for x
    x = 312,211,620,081/359,930
  6. Step 6: Final answer
    x = 867,423.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.