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Finding the Third Proportional to 474,252 and 723,420

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Solution

The third proportional to 474,252 and 723,420 is: 1,103,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,252 : 723,420 = 723,420 : x
  2. Step 2: Convert to fraction form
    474,252/723,420 = 723,420/x
  3. Step 3: Cross multiply
    474,252x = 723,420 × 723,420
  4. Step 4: Simplify right side
    474,252x = 523,336,496,400
  5. Step 5: Solve for x
    x = 523,336,496,400/474,252
  6. Step 6: Final answer
    x = 1,103,498.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.