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Finding the Third Proportional to 74,121 and 114,651

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Solution

The third proportional to 74,121 and 114,651 is: 177,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,121 : 114,651 = 114,651 : x
  2. Step 2: Convert to fraction form
    74,121/114,651 = 114,651/x
  3. Step 3: Cross multiply
    74,121x = 114,651 × 114,651
  4. Step 4: Simplify right side
    74,121x = 13,144,851,801
  5. Step 5: Solve for x
    x = 13,144,851,801/74,121
  6. Step 6: Final answer
    x = 177,343.15

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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.