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Finding the Third Proportional to 74,152 and 114,986

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Solution

The third proportional to 74,152 and 114,986 is: 178,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,152 : 114,986 = 114,986 : x
  2. Step 2: Convert to fraction form
    74,152/114,986 = 114,986/x
  3. Step 3: Cross multiply
    74,152x = 114,986 × 114,986
  4. Step 4: Simplify right side
    74,152x = 13,221,780,196
  5. Step 5: Solve for x
    x = 13,221,780,196/74,152
  6. Step 6: Final answer
    x = 178,306.45

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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.