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Finding the Third Proportional to 78,384 and 119,217

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Solution

The third proportional to 78,384 and 119,217 is: 181,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,384 : 119,217 = 119,217 : x
  2. Step 2: Convert to fraction form
    78,384/119,217 = 119,217/x
  3. Step 3: Cross multiply
    78,384x = 119,217 × 119,217
  4. Step 4: Simplify right side
    78,384x = 14,212,693,089
  5. Step 5: Solve for x
    x = 14,212,693,089/78,384
  6. Step 6: Final answer
    x = 181,321.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.