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Finding the Third Proportional to 485,639.25 and 760,158.75

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Solution

The third proportional to 485,639.25 and 760,158.75 is: 1,189,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,639.25 : 760,158.75 = 760,158.75 : x
  2. Step 2: Convert to fraction form
    485,639.25/760,158.75 = 760,158.75/x
  3. Step 3: Cross multiply
    485,639.25x = 760,158.75 × 760,158.75
  4. Step 4: Simplify right side
    485,639.25x = 577,841,325,201.56
  5. Step 5: Solve for x
    x = 577,841,325,201.56/485,639.25
  6. Step 6: Final answer
    x = 1,189,857.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.