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Finding the Third Proportional to 781,080 and 1,704,720

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Solution

The third proportional to 781,080 and 1,704,720 is: 3,720,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,080 : 1,704,720 = 1,704,720 : x
  2. Step 2: Convert to fraction form
    781,080/1,704,720 = 1,704,720/x
  3. Step 3: Cross multiply
    781,080x = 1,704,720 × 1,704,720
  4. Step 4: Simplify right side
    781,080x = 2,906,070,278,400
  5. Step 5: Solve for x
    x = 2,906,070,278,400/781,080
  6. Step 6: Final answer
    x = 3,720,579.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.