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Finding the Third Proportional to 6,445 and 9,719.50

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Solution

The third proportional to 6,445 and 9,719.50 is: 14,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445 : 9,719.50 = 9,719.50 : x
  2. Step 2: Convert to fraction form
    6,445/9,719.50 = 9,719.50/x
  3. Step 3: Cross multiply
    6,445x = 9,719.50 × 9,719.50
  4. Step 4: Simplify right side
    6,445x = 94,468,680.25
  5. Step 5: Solve for x
    x = 94,468,680.25/6,445
  6. Step 6: Final answer
    x = 14,657.67

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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.