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Finding the Third Proportional to 5,643.84 and 8,734.50

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Solution

The third proportional to 5,643.84 and 8,734.50 is: 13,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.84 : 8,734.50 = 8,734.50 : x
  2. Step 2: Convert to fraction form
    5,643.84/8,734.50 = 8,734.50/x
  3. Step 3: Cross multiply
    5,643.84x = 8,734.50 × 8,734.50
  4. Step 4: Simplify right side
    5,643.84x = 76,291,490.25
  5. Step 5: Solve for x
    x = 76,291,490.25/5,643.84
  6. Step 6: Final answer
    x = 13,517.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.