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Finding the Third Proportional to 7,708 and 17,746

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Solution

The third proportional to 7,708 and 17,746 is: 40,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708 : 17,746 = 17,746 : x
  2. Step 2: Convert to fraction form
    7,708/17,746 = 17,746/x
  3. Step 3: Cross multiply
    7,708x = 17,746 × 17,746
  4. Step 4: Simplify right side
    7,708x = 314,920,516
  5. Step 5: Solve for x
    x = 314,920,516/7,708
  6. Step 6: Final answer
    x = 40,856.32

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.