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Finding the Third Proportional to 423,393 and 913,259

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Solution

The third proportional to 423,393 and 913,259 is: 1,969,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,393 : 913,259 = 913,259 : x
  2. Step 2: Convert to fraction form
    423,393/913,259 = 913,259/x
  3. Step 3: Cross multiply
    423,393x = 913,259 × 913,259
  4. Step 4: Simplify right side
    423,393x = 834,042,001,081
  5. Step 5: Solve for x
    x = 834,042,001,081/423,393
  6. Step 6: Final answer
    x = 1,969,900.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.