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Finding the Third Proportional to 90,843.75 and 130,036.50

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Solution

The third proportional to 90,843.75 and 130,036.50 is: 186,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,843.75 : 130,036.50 = 130,036.50 : x
  2. Step 2: Convert to fraction form
    90,843.75/130,036.50 = 130,036.50/x
  3. Step 3: Cross multiply
    90,843.75x = 130,036.50 × 130,036.50
  4. Step 4: Simplify right side
    90,843.75x = 16,909,491,332.25
  5. Step 5: Solve for x
    x = 16,909,491,332.25/90,843.75
  6. Step 6: Final answer
    x = 186,138.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.