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Finding the Third Proportional to 372,648 and 808,320

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Solution

The third proportional to 372,648 and 808,320 is: 1,753,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,648 : 808,320 = 808,320 : x
  2. Step 2: Convert to fraction form
    372,648/808,320 = 808,320/x
  3. Step 3: Cross multiply
    372,648x = 808,320 × 808,320
  4. Step 4: Simplify right side
    372,648x = 653,381,222,400
  5. Step 5: Solve for x
    x = 653,381,222,400/372,648
  6. Step 6: Final answer
    x = 1,753,346.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.