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Finding the Third Proportional to 7,831.50 and 12,213

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Solution

The third proportional to 7,831.50 and 12,213 is: 19,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.50 : 12,213 = 12,213 : x
  2. Step 2: Convert to fraction form
    7,831.50/12,213 = 12,213/x
  3. Step 3: Cross multiply
    7,831.50x = 12,213 × 12,213
  4. Step 4: Simplify right side
    7,831.50x = 149,157,369
  5. Step 5: Solve for x
    x = 149,157,369/7,831.50
  6. Step 6: Final answer
    x = 19,045.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.