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Finding the Third Proportional to 78,921 and 122,664

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Solution

The third proportional to 78,921 and 122,664 is: 190,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,921 : 122,664 = 122,664 : x
  2. Step 2: Convert to fraction form
    78,921/122,664 = 122,664/x
  3. Step 3: Cross multiply
    78,921x = 122,664 × 122,664
  4. Step 4: Simplify right side
    78,921x = 15,046,456,896
  5. Step 5: Solve for x
    x = 15,046,456,896/78,921
  6. Step 6: Final answer
    x = 190,652.13

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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.