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Finding the Third Proportional to 428,655.38 and 931,182.75

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Solution

The third proportional to 428,655.38 and 931,182.75 is: 2,022,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,655.38 : 931,182.75 = 931,182.75 : x
  2. Step 2: Convert to fraction form
    428,655.38/931,182.75 = 931,182.75/x
  3. Step 3: Cross multiply
    428,655.38x = 931,182.75 × 931,182.75
  4. Step 4: Simplify right side
    428,655.38x = 867,101,313,897.56
  5. Step 5: Solve for x
    x = 867,101,313,897.56/428,655.38
  6. Step 6: Final answer
    x = 2,022,840.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.