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Finding the Third Proportional to 138,774 and 153,354

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Solution

The third proportional to 138,774 and 153,354 is: 169,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,774 : 153,354 = 153,354 : x
  2. Step 2: Convert to fraction form
    138,774/153,354 = 153,354/x
  3. Step 3: Cross multiply
    138,774x = 153,354 × 153,354
  4. Step 4: Simplify right side
    138,774x = 23,517,449,316
  5. Step 5: Solve for x
    x = 23,517,449,316/138,774
  6. Step 6: Final answer
    x = 169,465.82

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.