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Finding the Third Proportional to 6,399.84 and 9,689.20

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Solution

The third proportional to 6,399.84 and 9,689.20 is: 14,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.84 : 9,689.20 = 9,689.20 : x
  2. Step 2: Convert to fraction form
    6,399.84/9,689.20 = 9,689.20/x
  3. Step 3: Cross multiply
    6,399.84x = 9,689.20 × 9,689.20
  4. Step 4: Simplify right side
    6,399.84x = 93,880,657.20
  5. Step 5: Solve for x
    x = 93,880,657.20/6,399.84
  6. Step 6: Final answer
    x = 14,669.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.