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Finding the Third Proportional to 121,506 and 163,569.75

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Solution

The third proportional to 121,506 and 163,569.75 is: 220,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,506 : 163,569.75 = 163,569.75 : x
  2. Step 2: Convert to fraction form
    121,506/163,569.75 = 163,569.75/x
  3. Step 3: Cross multiply
    121,506x = 163,569.75 × 163,569.75
  4. Step 4: Simplify right side
    121,506x = 26,755,063,115.06
  5. Step 5: Solve for x
    x = 26,755,063,115.06/121,506
  6. Step 6: Final answer
    x = 220,195.41

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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.