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Finding the Third Proportional to 318,460.50 and 413,293.50

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Solution

The third proportional to 318,460.50 and 413,293.50 is: 536,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,460.50 : 413,293.50 = 413,293.50 : x
  2. Step 2: Convert to fraction form
    318,460.50/413,293.50 = 413,293.50/x
  3. Step 3: Cross multiply
    318,460.50x = 413,293.50 × 413,293.50
  4. Step 4: Simplify right side
    318,460.50x = 170,811,517,142.25
  5. Step 5: Solve for x
    x = 170,811,517,142.25/318,460.50
  6. Step 6: Final answer
    x = 536,366.42

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.