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Finding the Third Proportional to 218,011.50 and 318,389

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Solution

The third proportional to 218,011.50 and 318,389 is: 464,982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,011.50 : 318,389 = 318,389 : x
  2. Step 2: Convert to fraction form
    218,011.50/318,389 = 318,389/x
  3. Step 3: Cross multiply
    218,011.50x = 318,389 × 318,389
  4. Step 4: Simplify right side
    218,011.50x = 101,371,555,321
  5. Step 5: Solve for x
    x = 101,371,555,321/218,011.50
  6. Step 6: Final answer
    x = 464,982.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.