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Finding the Third Proportional to 219,534.75 and 331,031.25

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Solution

The third proportional to 219,534.75 and 331,031.25 is: 499,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,534.75 : 331,031.25 = 331,031.25 : x
  2. Step 2: Convert to fraction form
    219,534.75/331,031.25 = 331,031.25/x
  3. Step 3: Cross multiply
    219,534.75x = 331,031.25 × 331,031.25
  4. Step 4: Simplify right side
    219,534.75x = 109,581,688,476.56
  5. Step 5: Solve for x
    x = 109,581,688,476.56/219,534.75
  6. Step 6: Final answer
    x = 499,154.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.