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Finding the Third Proportional to 715,656 and 1,543,420

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Solution

The third proportional to 715,656 and 1,543,420 is: 3,328,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,656 : 1,543,420 = 1,543,420 : x
  2. Step 2: Convert to fraction form
    715,656/1,543,420 = 1,543,420/x
  3. Step 3: Cross multiply
    715,656x = 1,543,420 × 1,543,420
  4. Step 4: Simplify right side
    715,656x = 2,382,145,296,400
  5. Step 5: Solve for x
    x = 2,382,145,296,400/715,656
  6. Step 6: Final answer
    x = 3,328,617.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.