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Finding the Third Proportional to 76,440.38 and 162,130.50

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Solution

The third proportional to 76,440.38 and 162,130.50 is: 343,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,440.38 : 162,130.50 = 162,130.50 : x
  2. Step 2: Convert to fraction form
    76,440.38/162,130.50 = 162,130.50/x
  3. Step 3: Cross multiply
    76,440.38x = 162,130.50 × 162,130.50
  4. Step 4: Simplify right side
    76,440.38x = 26,286,299,030.25
  5. Step 5: Solve for x
    x = 26,286,299,030.25/76,440.38
  6. Step 6: Final answer
    x = 343,879.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.