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Finding the Third Proportional to 13,460 and 31,438

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Solution

The third proportional to 13,460 and 31,438 is: 73,428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460 : 31,438 = 31,438 : x
  2. Step 2: Convert to fraction form
    13,460/31,438 = 31,438/x
  3. Step 3: Cross multiply
    13,460x = 31,438 × 31,438
  4. Step 4: Simplify right side
    13,460x = 988,347,844
  5. Step 5: Solve for x
    x = 988,347,844/13,460
  6. Step 6: Final answer
    x = 73,428.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.