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Finding the Third Proportional to 427,923 and 916,569

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Solution

The third proportional to 427,923 and 916,569 is: 1,963,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,923 : 916,569 = 916,569 : x
  2. Step 2: Convert to fraction form
    427,923/916,569 = 916,569/x
  3. Step 3: Cross multiply
    427,923x = 916,569 × 916,569
  4. Step 4: Simplify right side
    427,923x = 840,098,731,761
  5. Step 5: Solve for x
    x = 840,098,731,761/427,923
  6. Step 6: Final answer
    x = 1,963,200.70

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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.