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Finding the Third Proportional to 78,351 and 119,361

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Solution

The third proportional to 78,351 and 119,361 is: 181,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,351 : 119,361 = 119,361 : x
  2. Step 2: Convert to fraction form
    78,351/119,361 = 119,361/x
  3. Step 3: Cross multiply
    78,351x = 119,361 × 119,361
  4. Step 4: Simplify right side
    78,351x = 14,247,048,321
  5. Step 5: Solve for x
    x = 14,247,048,321/78,351
  6. Step 6: Final answer
    x = 181,836.20

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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.