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Finding the Third Proportional to 74,123 and 114,654

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Solution

The third proportional to 74,123 and 114,654 is: 177,347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,123 : 114,654 = 114,654 : x
  2. Step 2: Convert to fraction form
    74,123/114,654 = 114,654/x
  3. Step 3: Cross multiply
    74,123x = 114,654 × 114,654
  4. Step 4: Simplify right side
    74,123x = 13,145,539,716
  5. Step 5: Solve for x
    x = 13,145,539,716/74,123
  6. Step 6: Final answer
    x = 177,347.65

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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.