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Finding the Third Proportional to 7,818.75 and 17,242.88

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Solution

The third proportional to 7,818.75 and 17,242.88 is: 38,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.75 : 17,242.88 = 17,242.88 : x
  2. Step 2: Convert to fraction form
    7,818.75/17,242.88 = 17,242.88/x
  3. Step 3: Cross multiply
    7,818.75x = 17,242.88 × 17,242.88
  4. Step 4: Simplify right side
    7,818.75x = 297,316,738.27
  5. Step 5: Solve for x
    x = 297,316,738.27/7,818.75
  6. Step 6: Final answer
    x = 38,026.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.