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Finding the Third Proportional to 12,312 and 17,440

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Solution

The third proportional to 12,312 and 17,440 is: 24,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312 : 17,440 = 17,440 : x
  2. Step 2: Convert to fraction form
    12,312/17,440 = 17,440/x
  3. Step 3: Cross multiply
    12,312x = 17,440 × 17,440
  4. Step 4: Simplify right side
    12,312x = 304,153,600
  5. Step 5: Solve for x
    x = 304,153,600/12,312
  6. Step 6: Final answer
    x = 24,703.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.