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Finding the Third Proportional to 74,139 and 114,884.25

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Solution

The third proportional to 74,139 and 114,884.25 is: 178,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,139 : 114,884.25 = 114,884.25 : x
  2. Step 2: Convert to fraction form
    74,139/114,884.25 = 114,884.25/x
  3. Step 3: Cross multiply
    74,139x = 114,884.25 × 114,884.25
  4. Step 4: Simplify right side
    74,139x = 13,198,390,898.06
  5. Step 5: Solve for x
    x = 13,198,390,898.06/74,139
  6. Step 6: Final answer
    x = 178,022.24

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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.