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Finding the Third Proportional to 79,652 and 121,989

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Solution

The third proportional to 79,652 and 121,989 is: 186,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,652 : 121,989 = 121,989 : x
  2. Step 2: Convert to fraction form
    79,652/121,989 = 121,989/x
  3. Step 3: Cross multiply
    79,652x = 121,989 × 121,989
  4. Step 4: Simplify right side
    79,652x = 14,881,316,121
  5. Step 5: Solve for x
    x = 14,881,316,121/79,652
  6. Step 6: Final answer
    x = 186,829.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.