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Finding the Third Proportional to 74,814 and 114,987

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Solution

The third proportional to 74,814 and 114,987 is: 176,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,814 : 114,987 = 114,987 : x
  2. Step 2: Convert to fraction form
    74,814/114,987 = 114,987/x
  3. Step 3: Cross multiply
    74,814x = 114,987 × 114,987
  4. Step 4: Simplify right side
    74,814x = 13,222,010,169
  5. Step 5: Solve for x
    x = 13,222,010,169/74,814
  6. Step 6: Final answer
    x = 176,731.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.