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Finding the Third Proportional to 120,627 and 254,862

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Solution

The third proportional to 120,627 and 254,862 is: 538,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,627 : 254,862 = 254,862 : x
  2. Step 2: Convert to fraction form
    120,627/254,862 = 254,862/x
  3. Step 3: Cross multiply
    120,627x = 254,862 × 254,862
  4. Step 4: Simplify right side
    120,627x = 64,954,639,044
  5. Step 5: Solve for x
    x = 64,954,639,044/120,627
  6. Step 6: Final answer
    x = 538,475.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.