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Finding the Third Proportional to 68,390.16 and 102,311.86

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Solution

The third proportional to 68,390.16 and 102,311.86 is: 153,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,390.16 : 102,311.86 = 102,311.86 : x
  2. Step 2: Convert to fraction form
    68,390.16/102,311.86 = 102,311.86/x
  3. Step 3: Cross multiply
    68,390.16x = 102,311.86 × 102,311.86
  4. Step 4: Simplify right side
    68,390.16x = 10,467,716,568.77
  5. Step 5: Solve for x
    x = 10,467,716,568.77/68,390.16
  6. Step 6: Final answer
    x = 153,058.82

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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.