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Finding the Third Proportional to 428,319.38 and 913,637.38

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Solution

The third proportional to 428,319.38 and 913,637.38 is: 1,948,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,319.38 : 913,637.38 = 913,637.38 : x
  2. Step 2: Convert to fraction form
    428,319.38/913,637.38 = 913,637.38/x
  3. Step 3: Cross multiply
    428,319.38x = 913,637.38 × 913,637.38
  4. Step 4: Simplify right side
    428,319.38x = 834,733,252,996.89
  5. Step 5: Solve for x
    x = 834,733,252,996.89/428,319.38
  6. Step 6: Final answer
    x = 1,948,857.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.