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Finding the Third Proportional to 386,376.75 and 564,742.13

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Solution

The third proportional to 386,376.75 and 564,742.13 is: 825,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,376.75 : 564,742.13 = 564,742.13 : x
  2. Step 2: Convert to fraction form
    386,376.75/564,742.13 = 564,742.13/x
  3. Step 3: Cross multiply
    386,376.75x = 564,742.13 × 564,742.13
  4. Step 4: Simplify right side
    386,376.75x = 318,933,667,749.52
  5. Step 5: Solve for x
    x = 318,933,667,749.52/386,376.75
  6. Step 6: Final answer
    x = 825,447.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.