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Finding the Third Proportional to 77,899.50 and 127,189.50

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Solution

The third proportional to 77,899.50 and 127,189.50 is: 207,667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,899.50 : 127,189.50 = 127,189.50 : x
  2. Step 2: Convert to fraction form
    77,899.50/127,189.50 = 127,189.50/x
  3. Step 3: Cross multiply
    77,899.50x = 127,189.50 × 127,189.50
  4. Step 4: Simplify right side
    77,899.50x = 16,177,168,910.25
  5. Step 5: Solve for x
    x = 16,177,168,910.25/77,899.50
  6. Step 6: Final answer
    x = 207,667.17

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.