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Finding the Third Proportional to 76,155.75 and 111,633.75

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Solution

The third proportional to 76,155.75 and 111,633.75 is: 163,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,155.75 : 111,633.75 = 111,633.75 : x
  2. Step 2: Convert to fraction form
    76,155.75/111,633.75 = 111,633.75/x
  3. Step 3: Cross multiply
    76,155.75x = 111,633.75 × 111,633.75
  4. Step 4: Simplify right side
    76,155.75x = 12,462,094,139.06
  5. Step 5: Solve for x
    x = 12,462,094,139.06/76,155.75
  6. Step 6: Final answer
    x = 163,639.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.