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Finding the Third Proportional to 10,428 and 13,979

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Solution

The third proportional to 10,428 and 13,979 is: 18,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428 : 13,979 = 13,979 : x
  2. Step 2: Convert to fraction form
    10,428/13,979 = 13,979/x
  3. Step 3: Cross multiply
    10,428x = 13,979 × 13,979
  4. Step 4: Simplify right side
    10,428x = 195,412,441
  5. Step 5: Solve for x
    x = 195,412,441/10,428
  6. Step 6: Final answer
    x = 18,739.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.