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Finding the Third Proportional to 485,603 and 760,086

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Solution

The third proportional to 485,603 and 760,086 is: 1,189,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,603 : 760,086 = 760,086 : x
  2. Step 2: Convert to fraction form
    485,603/760,086 = 760,086/x
  3. Step 3: Cross multiply
    485,603x = 760,086 × 760,086
  4. Step 4: Simplify right side
    485,603x = 577,730,727,396
  5. Step 5: Solve for x
    x = 577,730,727,396/485,603
  6. Step 6: Final answer
    x = 1,189,718.20

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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.