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Finding the Third Proportional to 438,311.25 and 657,478.27

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Solution

The third proportional to 438,311.25 and 657,478.27 is: 986,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,311.25 : 657,478.27 = 657,478.27 : x
  2. Step 2: Convert to fraction form
    438,311.25/657,478.27 = 657,478.27/x
  3. Step 3: Cross multiply
    438,311.25x = 657,478.27 × 657,478.27
  4. Step 4: Simplify right side
    438,311.25x = 432,277,669,769.26
  5. Step 5: Solve for x
    x = 432,277,669,769.26/438,311.25
  6. Step 6: Final answer
    x = 986,234.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.