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Finding the Third Proportional to 78,554 and 121,827

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Solution

The third proportional to 78,554 and 121,827 is: 188,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,554 : 121,827 = 121,827 : x
  2. Step 2: Convert to fraction form
    78,554/121,827 = 121,827/x
  3. Step 3: Cross multiply
    78,554x = 121,827 × 121,827
  4. Step 4: Simplify right side
    78,554x = 14,841,817,929
  5. Step 5: Solve for x
    x = 14,841,817,929/78,554
  6. Step 6: Final answer
    x = 188,937.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.