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Finding the Third Proportional to 7,605 and 16,689.75

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Solution

The third proportional to 7,605 and 16,689.75 is: 36,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605 : 16,689.75 = 16,689.75 : x
  2. Step 2: Convert to fraction form
    7,605/16,689.75 = 16,689.75/x
  3. Step 3: Cross multiply
    7,605x = 16,689.75 × 16,689.75
  4. Step 4: Simplify right side
    7,605x = 278,547,755.06
  5. Step 5: Solve for x
    x = 278,547,755.06/7,605
  6. Step 6: Final answer
    x = 36,626.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.