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Finding the Third Proportional to 130,507.50 and 198,496.13

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Solution

The third proportional to 130,507.50 and 198,496.13 is: 301,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,507.50 : 198,496.13 = 198,496.13 : x
  2. Step 2: Convert to fraction form
    130,507.50/198,496.13 = 198,496.13/x
  3. Step 3: Cross multiply
    130,507.50x = 198,496.13 × 198,496.13
  4. Step 4: Simplify right side
    130,507.50x = 39,400,711,640.02
  5. Step 5: Solve for x
    x = 39,400,711,640.02/130,507.50
  6. Step 6: Final answer
    x = 301,903.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.