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Finding the Third Proportional to 14,390 and 31,442

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Solution

The third proportional to 14,390 and 31,442 is: 68,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,390 : 31,442 = 31,442 : x
  2. Step 2: Convert to fraction form
    14,390/31,442 = 31,442/x
  3. Step 3: Cross multiply
    14,390x = 31,442 × 31,442
  4. Step 4: Simplify right side
    14,390x = 988,599,364
  5. Step 5: Solve for x
    x = 988,599,364/14,390
  6. Step 6: Final answer
    x = 68,700.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.