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Finding the Third Proportional to 427,344 and 618,968

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Solution

The third proportional to 427,344 and 618,968 is: 896,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,344 : 618,968 = 618,968 : x
  2. Step 2: Convert to fraction form
    427,344/618,968 = 618,968/x
  3. Step 3: Cross multiply
    427,344x = 618,968 × 618,968
  4. Step 4: Simplify right side
    427,344x = 383,121,385,024
  5. Step 5: Solve for x
    x = 383,121,385,024/427,344
  6. Step 6: Final answer
    x = 896,517.52

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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.