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Finding the Third Proportional to 175,680 and 386,348

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Solution

The third proportional to 175,680 and 386,348 is: 849,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,680 : 386,348 = 386,348 : x
  2. Step 2: Convert to fraction form
    175,680/386,348 = 386,348/x
  3. Step 3: Cross multiply
    175,680x = 386,348 × 386,348
  4. Step 4: Simplify right side
    175,680x = 149,264,777,104
  5. Step 5: Solve for x
    x = 149,264,777,104/175,680
  6. Step 6: Final answer
    x = 849,640.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.