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Finding the Third Proportional to 318,897 and 493,750

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Solution

The third proportional to 318,897 and 493,750 is: 764,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,897 : 493,750 = 493,750 : x
  2. Step 2: Convert to fraction form
    318,897/493,750 = 493,750/x
  3. Step 3: Cross multiply
    318,897x = 493,750 × 493,750
  4. Step 4: Simplify right side
    318,897x = 243,789,062,500
  5. Step 5: Solve for x
    x = 243,789,062,500/318,897
  6. Step 6: Final answer
    x = 764,475.87

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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.