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Finding the Third Proportional to 90,453 and 132,967.50

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Solution

The third proportional to 90,453 and 132,967.50 is: 195,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,453 : 132,967.50 = 132,967.50 : x
  2. Step 2: Convert to fraction form
    90,453/132,967.50 = 132,967.50/x
  3. Step 3: Cross multiply
    90,453x = 132,967.50 × 132,967.50
  4. Step 4: Simplify right side
    90,453x = 17,680,356,056.25
  5. Step 5: Solve for x
    x = 17,680,356,056.25/90,453
  6. Step 6: Final answer
    x = 195,464.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.