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Finding the Third Proportional to 240,423 and 353,830

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Solution

The third proportional to 240,423 and 353,830 is: 520,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,423 : 353,830 = 353,830 : x
  2. Step 2: Convert to fraction form
    240,423/353,830 = 353,830/x
  3. Step 3: Cross multiply
    240,423x = 353,830 × 353,830
  4. Step 4: Simplify right side
    240,423x = 125,195,668,900
  5. Step 5: Solve for x
    x = 125,195,668,900/240,423
  6. Step 6: Final answer
    x = 520,730.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.