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Finding the Third Proportional to 89,739 and 130,713.75

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Solution

The third proportional to 89,739 and 130,713.75 is: 190,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,739 : 130,713.75 = 130,713.75 : x
  2. Step 2: Convert to fraction form
    89,739/130,713.75 = 130,713.75/x
  3. Step 3: Cross multiply
    89,739x = 130,713.75 × 130,713.75
  4. Step 4: Simplify right side
    89,739x = 17,086,084,439.06
  5. Step 5: Solve for x
    x = 17,086,084,439.06/89,739
  6. Step 6: Final answer
    x = 190,397.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.