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Finding the Third Proportional to 485,439.75 and 753,718.50

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Solution

The third proportional to 485,439.75 and 753,718.50 is: 1,170,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,439.75 : 753,718.50 = 753,718.50 : x
  2. Step 2: Convert to fraction form
    485,439.75/753,718.50 = 753,718.50/x
  3. Step 3: Cross multiply
    485,439.75x = 753,718.50 × 753,718.50
  4. Step 4: Simplify right side
    485,439.75x = 568,091,577,242.25
  5. Step 5: Solve for x
    x = 568,091,577,242.25/485,439.75
  6. Step 6: Final answer
    x = 1,170,261.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.