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Finding the Third Proportional to 142,209 and 329,217.75

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Solution

The third proportional to 142,209 and 329,217.75 is: 762,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,209 : 329,217.75 = 329,217.75 : x
  2. Step 2: Convert to fraction form
    142,209/329,217.75 = 329,217.75/x
  3. Step 3: Cross multiply
    142,209x = 329,217.75 × 329,217.75
  4. Step 4: Simplify right side
    142,209x = 108,384,326,915.06
  5. Step 5: Solve for x
    x = 108,384,326,915.06/142,209
  6. Step 6: Final answer
    x = 762,148.15

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.