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Finding the Third Proportional to 78,539 and 169,535

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Solution

The third proportional to 78,539 and 169,535 is: 365,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,539 : 169,535 = 169,535 : x
  2. Step 2: Convert to fraction form
    78,539/169,535 = 169,535/x
  3. Step 3: Cross multiply
    78,539x = 169,535 × 169,535
  4. Step 4: Simplify right side
    78,539x = 28,742,116,225
  5. Step 5: Solve for x
    x = 28,742,116,225/78,539
  6. Step 6: Final answer
    x = 365,959.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.