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Finding the Third Proportional to 76,686.75 and 111,678.75

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Solution

The third proportional to 76,686.75 and 111,678.75 is: 162,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,686.75 : 111,678.75 = 111,678.75 : x
  2. Step 2: Convert to fraction form
    76,686.75/111,678.75 = 111,678.75/x
  3. Step 3: Cross multiply
    76,686.75x = 111,678.75 × 111,678.75
  4. Step 4: Simplify right side
    76,686.75x = 12,472,143,201.56
  5. Step 5: Solve for x
    x = 12,472,143,201.56/76,686.75
  6. Step 6: Final answer
    x = 162,637.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.