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Finding the Third Proportional to 129,627 and 280,989

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Solution

The third proportional to 129,627 and 280,989 is: 609,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,627 : 280,989 = 280,989 : x
  2. Step 2: Convert to fraction form
    129,627/280,989 = 280,989/x
  3. Step 3: Cross multiply
    129,627x = 280,989 × 280,989
  4. Step 4: Simplify right side
    129,627x = 78,954,818,121
  5. Step 5: Solve for x
    x = 78,954,818,121/129,627
  6. Step 6: Final answer
    x = 609,092.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.