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Finding the Third Proportional to 427,934 and 916,591

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Solution

The third proportional to 427,934 and 916,591 is: 1,963,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,934 : 916,591 = 916,591 : x
  2. Step 2: Convert to fraction form
    427,934/916,591 = 916,591/x
  3. Step 3: Cross multiply
    427,934x = 916,591 × 916,591
  4. Step 4: Simplify right side
    427,934x = 840,139,061,281
  5. Step 5: Solve for x
    x = 840,139,061,281/427,934
  6. Step 6: Final answer
    x = 1,963,244.48

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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.