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Finding the Third Proportional to 121,680 and 164,088

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Solution

The third proportional to 121,680 and 164,088 is: 221,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,680 : 164,088 = 164,088 : x
  2. Step 2: Convert to fraction form
    121,680/164,088 = 164,088/x
  3. Step 3: Cross multiply
    121,680x = 164,088 × 164,088
  4. Step 4: Simplify right side
    121,680x = 26,924,871,744
  5. Step 5: Solve for x
    x = 26,924,871,744/121,680
  6. Step 6: Final answer
    x = 221,276.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.