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Finding the Third Proportional to 81,684 and 124,929

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Solution

The third proportional to 81,684 and 124,929 is: 191,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,684 : 124,929 = 124,929 : x
  2. Step 2: Convert to fraction form
    81,684/124,929 = 124,929/x
  3. Step 3: Cross multiply
    81,684x = 124,929 × 124,929
  4. Step 4: Simplify right side
    81,684x = 15,607,255,041
  5. Step 5: Solve for x
    x = 15,607,255,041/81,684
  6. Step 6: Final answer
    x = 191,068.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.