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Finding the Third Proportional to 345,150 and 756,720

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Solution

The third proportional to 345,150 and 756,720 is: 1,659,061.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,150 : 756,720 = 756,720 : x
  2. Step 2: Convert to fraction form
    345,150/756,720 = 756,720/x
  3. Step 3: Cross multiply
    345,150x = 756,720 × 756,720
  4. Step 4: Simplify right side
    345,150x = 572,625,158,400
  5. Step 5: Solve for x
    x = 572,625,158,400/345,150
  6. Step 6: Final answer
    x = 1,659,061.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.