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Finding the Third Proportional to 427,151 and 618,693

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Solution

The third proportional to 427,151 and 618,693 is: 896,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,151 : 618,693 = 618,693 : x
  2. Step 2: Convert to fraction form
    427,151/618,693 = 618,693/x
  3. Step 3: Cross multiply
    427,151x = 618,693 × 618,693
  4. Step 4: Simplify right side
    427,151x = 382,781,028,249
  5. Step 5: Solve for x
    x = 382,781,028,249/427,151
  6. Step 6: Final answer
    x = 896,125.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.