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Finding the Third Proportional to 613,648 and 829,080

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Solution

The third proportional to 613,648 and 829,080 is: 1,120,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,648 : 829,080 = 829,080 : x
  2. Step 2: Convert to fraction form
    613,648/829,080 = 829,080/x
  3. Step 3: Cross multiply
    613,648x = 829,080 × 829,080
  4. Step 4: Simplify right side
    613,648x = 687,373,646,400
  5. Step 5: Solve for x
    x = 687,373,646,400/613,648
  6. Step 6: Final answer
    x = 1,120,143.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.