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Finding the Third Proportional to 400,932.38 and 872,445.75

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Solution

The third proportional to 400,932.38 and 872,445.75 is: 1,898,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,932.38 : 872,445.75 = 872,445.75 : x
  2. Step 2: Convert to fraction form
    400,932.38/872,445.75 = 872,445.75/x
  3. Step 3: Cross multiply
    400,932.38x = 872,445.75 × 872,445.75
  4. Step 4: Simplify right side
    400,932.38x = 761,161,586,693.06
  5. Step 5: Solve for x
    x = 761,161,586,693.06/400,932.38
  6. Step 6: Final answer
    x = 1,898,478.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.