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Finding the Third Proportional to 287,904.38 and 450,613.13

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Solution

The third proportional to 287,904.38 and 450,613.13 is: 705,276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,904.38 : 450,613.13 = 450,613.13 : x
  2. Step 2: Convert to fraction form
    287,904.38/450,613.13 = 450,613.13/x
  3. Step 3: Cross multiply
    287,904.38x = 450,613.13 × 450,613.13
  4. Step 4: Simplify right side
    287,904.38x = 203,052,188,422.27
  5. Step 5: Solve for x
    x = 203,052,188,422.27/287,904.38
  6. Step 6: Final answer
    x = 705,276.49

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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.