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Finding the Third Proportional to 117,543.75 and 153,122.25

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Solution

The third proportional to 117,543.75 and 153,122.25 is: 199,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,543.75 : 153,122.25 = 153,122.25 : x
  2. Step 2: Convert to fraction form
    117,543.75/153,122.25 = 153,122.25/x
  3. Step 3: Cross multiply
    117,543.75x = 153,122.25 × 153,122.25
  4. Step 4: Simplify right side
    117,543.75x = 23,446,423,445.06
  5. Step 5: Solve for x
    x = 23,446,423,445.06/117,543.75
  6. Step 6: Final answer
    x = 199,469.76

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.