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Finding the Third Proportional to 474,416 and 721,400

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Solution

The third proportional to 474,416 and 721,400 is: 1,096,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,416 : 721,400 = 721,400 : x
  2. Step 2: Convert to fraction form
    474,416/721,400 = 721,400/x
  3. Step 3: Cross multiply
    474,416x = 721,400 × 721,400
  4. Step 4: Simplify right side
    474,416x = 520,417,960,000
  5. Step 5: Solve for x
    x = 520,417,960,000/474,416
  6. Step 6: Final answer
    x = 1,096,965.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.