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Finding the Third Proportional to 74,778.19 and 114,939

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Solution

The third proportional to 74,778.19 and 114,939 is: 176,668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,778.19 : 114,939 = 114,939 : x
  2. Step 2: Convert to fraction form
    74,778.19/114,939 = 114,939/x
  3. Step 3: Cross multiply
    74,778.19x = 114,939 × 114,939
  4. Step 4: Simplify right side
    74,778.19x = 13,210,973,721
  5. Step 5: Solve for x
    x = 13,210,973,721/74,778.19
  6. Step 6: Final answer
    x = 176,668.81

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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.