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Finding the Third Proportional to 90,433.50 and 133,036.75

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Solution

The third proportional to 90,433.50 and 133,036.75 is: 195,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,433.50 : 133,036.75 = 133,036.75 : x
  2. Step 2: Convert to fraction form
    90,433.50/133,036.75 = 133,036.75/x
  3. Step 3: Cross multiply
    90,433.50x = 133,036.75 × 133,036.75
  4. Step 4: Simplify right side
    90,433.50x = 17,698,776,850.56
  5. Step 5: Solve for x
    x = 17,698,776,850.56/90,433.50
  6. Step 6: Final answer
    x = 195,710.40

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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.