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Finding the Third Proportional to 372,160 and 806,720

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Solution

The third proportional to 372,160 and 806,720 is: 1,748,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,160 : 806,720 = 806,720 : x
  2. Step 2: Convert to fraction form
    372,160/806,720 = 806,720/x
  3. Step 3: Cross multiply
    372,160x = 806,720 × 806,720
  4. Step 4: Simplify right side
    372,160x = 650,797,158,400
  5. Step 5: Solve for x
    x = 650,797,158,400/372,160
  6. Step 6: Final answer
    x = 1,748,702.60

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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.