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Finding the Third Proportional to 80,643 and 172,362

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Solution

The third proportional to 80,643 and 172,362 is: 368,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,643 : 172,362 = 172,362 : x
  2. Step 2: Convert to fraction form
    80,643/172,362 = 172,362/x
  3. Step 3: Cross multiply
    80,643x = 172,362 × 172,362
  4. Step 4: Simplify right side
    80,643x = 29,708,659,044
  5. Step 5: Solve for x
    x = 29,708,659,044/80,643
  6. Step 6: Final answer
    x = 368,397.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.