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Finding the Third Proportional to 434,527 and 908,743

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Solution

The third proportional to 434,527 and 908,743 is: 1,900,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,527 : 908,743 = 908,743 : x
  2. Step 2: Convert to fraction form
    434,527/908,743 = 908,743/x
  3. Step 3: Cross multiply
    434,527x = 908,743 × 908,743
  4. Step 4: Simplify right side
    434,527x = 825,813,840,049
  5. Step 5: Solve for x
    x = 825,813,840,049/434,527
  6. Step 6: Final answer
    x = 1,900,489.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.