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Finding the Third Proportional to 427,143 and 618,681

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Solution

The third proportional to 427,143 and 618,681 is: 896,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,143 : 618,681 = 618,681 : x
  2. Step 2: Convert to fraction form
    427,143/618,681 = 618,681/x
  3. Step 3: Cross multiply
    427,143x = 618,681 × 618,681
  4. Step 4: Simplify right side
    427,143x = 382,766,179,761
  5. Step 5: Solve for x
    x = 382,766,179,761/427,143
  6. Step 6: Final answer
    x = 896,107.81

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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.