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Finding the Third Proportional to 7,717.50 and 18,206.25

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Solution

The third proportional to 7,717.50 and 18,206.25 is: 42,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.50 : 18,206.25 = 18,206.25 : x
  2. Step 2: Convert to fraction form
    7,717.50/18,206.25 = 18,206.25/x
  3. Step 3: Cross multiply
    7,717.50x = 18,206.25 × 18,206.25
  4. Step 4: Simplify right side
    7,717.50x = 331,467,539.06
  5. Step 5: Solve for x
    x = 331,467,539.06/7,717.50
  6. Step 6: Final answer
    x = 42,950.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.