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Finding the Third Proportional to 240,422 and 353,829

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Solution

The third proportional to 240,422 and 353,829 is: 520,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,422 : 353,829 = 353,829 : x
  2. Step 2: Convert to fraction form
    240,422/353,829 = 353,829/x
  3. Step 3: Cross multiply
    240,422x = 353,829 × 353,829
  4. Step 4: Simplify right side
    240,422x = 125,194,961,241
  5. Step 5: Solve for x
    x = 125,194,961,241/240,422
  6. Step 6: Final answer
    x = 520,730.05

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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.