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Finding the Third Proportional to 478,728 and 743,372

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Solution

The third proportional to 478,728 and 743,372 is: 1,154,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,728 : 743,372 = 743,372 : x
  2. Step 2: Convert to fraction form
    478,728/743,372 = 743,372/x
  3. Step 3: Cross multiply
    478,728x = 743,372 × 743,372
  4. Step 4: Simplify right side
    478,728x = 552,601,930,384
  5. Step 5: Solve for x
    x = 552,601,930,384/478,728
  6. Step 6: Final answer
    x = 1,154,312.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.