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Finding the Third Proportional to 42,223.50 and 90,999

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Solution

The third proportional to 42,223.50 and 90,999 is: 196,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,223.50 : 90,999 = 90,999 : x
  2. Step 2: Convert to fraction form
    42,223.50/90,999 = 90,999/x
  3. Step 3: Cross multiply
    42,223.50x = 90,999 × 90,999
  4. Step 4: Simplify right side
    42,223.50x = 8,280,818,001
  5. Step 5: Solve for x
    x = 8,280,818,001/42,223.50
  6. Step 6: Final answer
    x = 196,118.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.