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Finding the Third Proportional to 745,132.50 and 1,181,827.13

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Solution

The third proportional to 745,132.50 and 1,181,827.13 is: 1,874,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,132.50 : 1,181,827.13 = 1,181,827.13 : x
  2. Step 2: Convert to fraction form
    745,132.50/1,181,827.13 = 1,181,827.13/x
  3. Step 3: Cross multiply
    745,132.50x = 1,181,827.13 × 1,181,827.13
  4. Step 4: Simplify right side
    745,132.50x = 1,396,715,353,385.77
  5. Step 5: Solve for x
    x = 1,396,715,353,385.77/745,132.50
  6. Step 6: Final answer
    x = 1,874,452.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.