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Finding the Third Proportional to 78,390 and 119,427

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Solution

The third proportional to 78,390 and 119,427 is: 181,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,390 : 119,427 = 119,427 : x
  2. Step 2: Convert to fraction form
    78,390/119,427 = 119,427/x
  3. Step 3: Cross multiply
    78,390x = 119,427 × 119,427
  4. Step 4: Simplify right side
    78,390x = 14,262,808,329
  5. Step 5: Solve for x
    x = 14,262,808,329/78,390
  6. Step 6: Final answer
    x = 181,946.78

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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.