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Finding the Third Proportional to 7,972.75 and 17,402.75

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Solution

The third proportional to 7,972.75 and 17,402.75 is: 37,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.75 : 17,402.75 = 17,402.75 : x
  2. Step 2: Convert to fraction form
    7,972.75/17,402.75 = 17,402.75/x
  3. Step 3: Cross multiply
    7,972.75x = 17,402.75 × 17,402.75
  4. Step 4: Simplify right side
    7,972.75x = 302,855,707.56
  5. Step 5: Solve for x
    x = 302,855,707.56/7,972.75
  6. Step 6: Final answer
    x = 37,986.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.