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Finding the Third Proportional to 78,394 and 171,524

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Solution

The third proportional to 78,394 and 171,524 is: 375,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,394 : 171,524 = 171,524 : x
  2. Step 2: Convert to fraction form
    78,394/171,524 = 171,524/x
  3. Step 3: Cross multiply
    78,394x = 171,524 × 171,524
  4. Step 4: Simplify right side
    78,394x = 29,420,482,576
  5. Step 5: Solve for x
    x = 29,420,482,576/78,394
  6. Step 6: Final answer
    x = 375,289.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.