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Finding the Third Proportional to 84,206.50 and 130,744.50

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Solution

The third proportional to 84,206.50 and 130,744.50 is: 203,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,206.50 : 130,744.50 = 130,744.50 : x
  2. Step 2: Convert to fraction form
    84,206.50/130,744.50 = 130,744.50/x
  3. Step 3: Cross multiply
    84,206.50x = 130,744.50 × 130,744.50
  4. Step 4: Simplify right side
    84,206.50x = 17,094,124,280.25
  5. Step 5: Solve for x
    x = 17,094,124,280.25/84,206.50
  6. Step 6: Final answer
    x = 203,002.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.