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Finding the Third Proportional to 474,408 and 721,388

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Solution

The third proportional to 474,408 and 721,388 is: 1,096,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,408 : 721,388 = 721,388 : x
  2. Step 2: Convert to fraction form
    474,408/721,388 = 721,388/x
  3. Step 3: Cross multiply
    474,408x = 721,388 × 721,388
  4. Step 4: Simplify right side
    474,408x = 520,400,646,544
  5. Step 5: Solve for x
    x = 520,400,646,544/474,408
  6. Step 6: Final answer
    x = 1,096,947.45

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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.