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Finding the Third Proportional to 66,580.50 and 100,563

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Solution

The third proportional to 66,580.50 and 100,563 is: 151,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,580.50 : 100,563 = 100,563 : x
  2. Step 2: Convert to fraction form
    66,580.50/100,563 = 100,563/x
  3. Step 3: Cross multiply
    66,580.50x = 100,563 × 100,563
  4. Step 4: Simplify right side
    66,580.50x = 10,112,916,969
  5. Step 5: Solve for x
    x = 10,112,916,969/66,580.50
  6. Step 6: Final answer
    x = 151,890.07

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Why These Related Problems?

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