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Finding the Third Proportional to 7,140 and 8,719.50

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Solution

The third proportional to 7,140 and 8,719.50 is: 10,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140 : 8,719.50 = 8,719.50 : x
  2. Step 2: Convert to fraction form
    7,140/8,719.50 = 8,719.50/x
  3. Step 3: Cross multiply
    7,140x = 8,719.50 × 8,719.50
  4. Step 4: Simplify right side
    7,140x = 76,029,680.25
  5. Step 5: Solve for x
    x = 76,029,680.25/7,140
  6. Step 6: Final answer
    x = 10,648.41

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.