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Finding the Third Proportional to 427,149 and 618,690

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Solution

The third proportional to 427,149 and 618,690 is: 896,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,149 : 618,690 = 618,690 : x
  2. Step 2: Convert to fraction form
    427,149/618,690 = 618,690/x
  3. Step 3: Cross multiply
    427,149x = 618,690 × 618,690
  4. Step 4: Simplify right side
    427,149x = 382,777,316,100
  5. Step 5: Solve for x
    x = 382,777,316,100/427,149
  6. Step 6: Final answer
    x = 896,121.30

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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.