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Finding the Third Proportional to 86,551.50 and 130,986

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Solution

The third proportional to 86,551.50 and 130,986 is: 198,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,551.50 : 130,986 = 130,986 : x
  2. Step 2: Convert to fraction form
    86,551.50/130,986 = 130,986/x
  3. Step 3: Cross multiply
    86,551.50x = 130,986 × 130,986
  4. Step 4: Simplify right side
    86,551.50x = 17,157,332,196
  5. Step 5: Solve for x
    x = 17,157,332,196/86,551.50
  6. Step 6: Final answer
    x = 198,232.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.