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Finding the Third Proportional to 130,617 and 195,419.25

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Solution

The third proportional to 130,617 and 195,419.25 is: 292,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,617 : 195,419.25 = 195,419.25 : x
  2. Step 2: Convert to fraction form
    130,617/195,419.25 = 195,419.25/x
  3. Step 3: Cross multiply
    130,617x = 195,419.25 × 195,419.25
  4. Step 4: Simplify right side
    130,617x = 38,188,683,270.56
  5. Step 5: Solve for x
    x = 38,188,683,270.56/130,617
  6. Step 6: Final answer
    x = 292,371.46

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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.