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Finding the Third Proportional to 318,073.50 and 487,302.75

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Solution

The third proportional to 318,073.50 and 487,302.75 is: 746,569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,073.50 : 487,302.75 = 487,302.75 : x
  2. Step 2: Convert to fraction form
    318,073.50/487,302.75 = 487,302.75/x
  3. Step 3: Cross multiply
    318,073.50x = 487,302.75 × 487,302.75
  4. Step 4: Simplify right side
    318,073.50x = 237,463,970,157.56
  5. Step 5: Solve for x
    x = 237,463,970,157.56/318,073.50
  6. Step 6: Final answer
    x = 746,569.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.