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Finding the Third Proportional to 427,338 and 618,959

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Solution

The third proportional to 427,338 and 618,959 is: 896,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,338 : 618,959 = 618,959 : x
  2. Step 2: Convert to fraction form
    427,338/618,959 = 618,959/x
  3. Step 3: Cross multiply
    427,338x = 618,959 × 618,959
  4. Step 4: Simplify right side
    427,338x = 383,110,243,681
  5. Step 5: Solve for x
    x = 383,110,243,681/427,338
  6. Step 6: Final answer
    x = 896,504.04

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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.