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Finding the Third Proportional to 76,102.50 and 113,718

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Solution

The third proportional to 76,102.50 and 113,718 is: 169,925.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102.50 : 113,718 = 113,718 : x
  2. Step 2: Convert to fraction form
    76,102.50/113,718 = 113,718/x
  3. Step 3: Cross multiply
    76,102.50x = 113,718 × 113,718
  4. Step 4: Simplify right side
    76,102.50x = 12,931,783,524
  5. Step 5: Solve for x
    x = 12,931,783,524/76,102.50
  6. Step 6: Final answer
    x = 169,925.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.