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Finding the Third Proportional to 76,963.61 and 115,137.86

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Solution

The third proportional to 76,963.61 and 115,137.86 is: 172,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,963.61 : 115,137.86 = 115,137.86 : x
  2. Step 2: Convert to fraction form
    76,963.61/115,137.86 = 115,137.86/x
  3. Step 3: Cross multiply
    76,963.61x = 115,137.86 × 115,137.86
  4. Step 4: Simplify right side
    76,963.61x = 13,256,727,111.21
  5. Step 5: Solve for x
    x = 13,256,727,111.21/76,963.61
  6. Step 6: Final answer
    x = 172,246.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.