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Finding the Third Proportional to 76,606.31 and 126,603.84

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Solution

The third proportional to 76,606.31 and 126,603.84 is: 209,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,606.31 : 126,603.84 = 126,603.84 : x
  2. Step 2: Convert to fraction form
    76,606.31/126,603.84 = 126,603.84/x
  3. Step 3: Cross multiply
    76,606.31x = 126,603.84 × 126,603.84
  4. Step 4: Simplify right side
    76,606.31x = 16,028,533,252.27
  5. Step 5: Solve for x
    x = 16,028,533,252.27/76,606.31
  6. Step 6: Final answer
    x = 209,232.54

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.