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Finding the Third Proportional to 67,830.75 and 147,339

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Solution

The third proportional to 67,830.75 and 147,339 is: 320,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,830.75 : 147,339 = 147,339 : x
  2. Step 2: Convert to fraction form
    67,830.75/147,339 = 147,339/x
  3. Step 3: Cross multiply
    67,830.75x = 147,339 × 147,339
  4. Step 4: Simplify right side
    67,830.75x = 21,708,780,921
  5. Step 5: Solve for x
    x = 21,708,780,921/67,830.75
  6. Step 6: Final answer
    x = 320,043.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.