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Finding the Third Proportional to 78,572 and 169,694

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Solution

The third proportional to 78,572 and 169,694 is: 366,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,572 : 169,694 = 169,694 : x
  2. Step 2: Convert to fraction form
    78,572/169,694 = 169,694/x
  3. Step 3: Cross multiply
    78,572x = 169,694 × 169,694
  4. Step 4: Simplify right side
    78,572x = 28,796,053,636
  5. Step 5: Solve for x
    x = 28,796,053,636/78,572
  6. Step 6: Final answer
    x = 366,492.56

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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.