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Finding the Third Proportional to 87,206.50 and 130,810

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Solution

The third proportional to 87,206.50 and 130,810 is: 196,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,206.50 : 130,810 = 130,810 : x
  2. Step 2: Convert to fraction form
    87,206.50/130,810 = 130,810/x
  3. Step 3: Cross multiply
    87,206.50x = 130,810 × 130,810
  4. Step 4: Simplify right side
    87,206.50x = 17,111,256,100
  5. Step 5: Solve for x
    x = 17,111,256,100/87,206.50
  6. Step 6: Final answer
    x = 196,215.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.