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Finding the Third Proportional to 6,411 and 8,698.50

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Solution

The third proportional to 6,411 and 8,698.50 is: 11,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411 : 8,698.50 = 8,698.50 : x
  2. Step 2: Convert to fraction form
    6,411/8,698.50 = 8,698.50/x
  3. Step 3: Cross multiply
    6,411x = 8,698.50 × 8,698.50
  4. Step 4: Simplify right side
    6,411x = 75,663,902.25
  5. Step 5: Solve for x
    x = 75,663,902.25/6,411
  6. Step 6: Final answer
    x = 11,802.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.