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Finding the Third Proportional to 423,713 and 908,743

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Solution

The third proportional to 423,713 and 908,743 is: 1,948,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,713 : 908,743 = 908,743 : x
  2. Step 2: Convert to fraction form
    423,713/908,743 = 908,743/x
  3. Step 3: Cross multiply
    423,713x = 908,743 × 908,743
  4. Step 4: Simplify right side
    423,713x = 825,813,840,049
  5. Step 5: Solve for x
    x = 825,813,840,049/423,713
  6. Step 6: Final answer
    x = 1,948,993.40

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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.