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Finding the Third Proportional to 313,641 and 486,337.50

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Solution

The third proportional to 313,641 and 486,337.50 is: 754,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,641 : 486,337.50 = 486,337.50 : x
  2. Step 2: Convert to fraction form
    313,641/486,337.50 = 486,337.50/x
  3. Step 3: Cross multiply
    313,641x = 486,337.50 × 486,337.50
  4. Step 4: Simplify right side
    313,641x = 236,524,163,906.25
  5. Step 5: Solve for x
    x = 236,524,163,906.25/313,641
  6. Step 6: Final answer
    x = 754,123.87

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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.