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Finding the Third Proportional to 478,738 and 743,387

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Solution

The third proportional to 478,738 and 743,387 is: 1,154,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,738 : 743,387 = 743,387 : x
  2. Step 2: Convert to fraction form
    478,738/743,387 = 743,387/x
  3. Step 3: Cross multiply
    478,738x = 743,387 × 743,387
  4. Step 4: Simplify right side
    478,738x = 552,624,231,769
  5. Step 5: Solve for x
    x = 552,624,231,769/478,738
  6. Step 6: Final answer
    x = 1,154,335.42

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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.