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Finding the Third Proportional to 102,686 and 137,354

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Solution

The third proportional to 102,686 and 137,354 is: 183,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,686 : 137,354 = 137,354 : x
  2. Step 2: Convert to fraction form
    102,686/137,354 = 137,354/x
  3. Step 3: Cross multiply
    102,686x = 137,354 × 137,354
  4. Step 4: Simplify right side
    102,686x = 18,866,121,316
  5. Step 5: Solve for x
    x = 18,866,121,316/102,686
  6. Step 6: Final answer
    x = 183,726.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.