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Finding the Third Proportional to 74,677.50 and 115,627.50

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Solution

The third proportional to 74,677.50 and 115,627.50 is: 179,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,677.50 : 115,627.50 = 115,627.50 : x
  2. Step 2: Convert to fraction form
    74,677.50/115,627.50 = 115,627.50/x
  3. Step 3: Cross multiply
    74,677.50x = 115,627.50 × 115,627.50
  4. Step 4: Simplify right side
    74,677.50x = 13,369,718,756.25
  5. Step 5: Solve for x
    x = 13,369,718,756.25/74,677.50
  6. Step 6: Final answer
    x = 179,032.76

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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.