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Finding the Third Proportional to 100,490 and 138,427

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Solution

The third proportional to 100,490 and 138,427 is: 190,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,490 : 138,427 = 138,427 : x
  2. Step 2: Convert to fraction form
    100,490/138,427 = 138,427/x
  3. Step 3: Cross multiply
    100,490x = 138,427 × 138,427
  4. Step 4: Simplify right side
    100,490x = 19,162,034,329
  5. Step 5: Solve for x
    x = 19,162,034,329/100,490
  6. Step 6: Final answer
    x = 190,685.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.