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Finding the Third Proportional to 240,416 and 353,820

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Solution

The third proportional to 240,416 and 353,820 is: 520,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,416 : 353,820 = 353,820 : x
  2. Step 2: Convert to fraction form
    240,416/353,820 = 353,820/x
  3. Step 3: Cross multiply
    240,416x = 353,820 × 353,820
  4. Step 4: Simplify right side
    240,416x = 125,188,592,400
  5. Step 5: Solve for x
    x = 125,188,592,400/240,416
  6. Step 6: Final answer
    x = 520,716.56

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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.