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Finding the Third Proportional to 474,410 and 721,391

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Solution

The third proportional to 474,410 and 721,391 is: 1,096,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,410 : 721,391 = 721,391 : x
  2. Step 2: Convert to fraction form
    474,410/721,391 = 721,391/x
  3. Step 3: Cross multiply
    474,410x = 721,391 × 721,391
  4. Step 4: Simplify right side
    474,410x = 520,404,974,881
  5. Step 5: Solve for x
    x = 520,404,974,881/474,410
  6. Step 6: Final answer
    x = 1,096,951.95

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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.