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Finding the Third Proportional to 130,711.50 and 199,822.50

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Solution

The third proportional to 130,711.50 and 199,822.50 is: 305,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,711.50 : 199,822.50 = 199,822.50 : x
  2. Step 2: Convert to fraction form
    130,711.50/199,822.50 = 199,822.50/x
  3. Step 3: Cross multiply
    130,711.50x = 199,822.50 × 199,822.50
  4. Step 4: Simplify right side
    130,711.50x = 39,929,031,506.25
  5. Step 5: Solve for x
    x = 39,929,031,506.25/130,711.50
  6. Step 6: Final answer
    x = 305,474.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.