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Finding the Third Proportional to 8,312 and 12,246

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Solution

The third proportional to 8,312 and 12,246 is: 18,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312 : 12,246 = 12,246 : x
  2. Step 2: Convert to fraction form
    8,312/12,246 = 12,246/x
  3. Step 3: Cross multiply
    8,312x = 12,246 × 12,246
  4. Step 4: Simplify right side
    8,312x = 149,964,516
  5. Step 5: Solve for x
    x = 149,964,516/8,312
  6. Step 6: Final answer
    x = 18,041.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.