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Finding the Third Proportional to 400,257.56 and 857,718.84

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Solution

The third proportional to 400,257.56 and 857,718.84 is: 1,838,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,257.56 : 857,718.84 = 857,718.84 : x
  2. Step 2: Convert to fraction form
    400,257.56/857,718.84 = 857,718.84/x
  3. Step 3: Cross multiply
    400,257.56x = 857,718.84 × 857,718.84
  4. Step 4: Simplify right side
    400,257.56x = 735,681,614,923.84
  5. Step 5: Solve for x
    x = 735,681,614,923.84/400,257.56
  6. Step 6: Final answer
    x = 1,838,020.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.