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Finding the Third Proportional to 89,517.66 and 121,646.81

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Solution

The third proportional to 89,517.66 and 121,646.81 is: 165,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,517.66 : 121,646.81 = 121,646.81 : x
  2. Step 2: Convert to fraction form
    89,517.66/121,646.81 = 121,646.81/x
  3. Step 3: Cross multiply
    89,517.66x = 121,646.81 × 121,646.81
  4. Step 4: Simplify right side
    89,517.66x = 14,797,946,991.41
  5. Step 5: Solve for x
    x = 14,797,946,991.41/89,517.66
  6. Step 6: Final answer
    x = 165,307.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.