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Finding the Third Proportional to 13,988 and 19,702

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Solution

The third proportional to 13,988 and 19,702 is: 27,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988 : 19,702 = 19,702 : x
  2. Step 2: Convert to fraction form
    13,988/19,702 = 19,702/x
  3. Step 3: Cross multiply
    13,988x = 19,702 × 19,702
  4. Step 4: Simplify right side
    13,988x = 388,168,804
  5. Step 5: Solve for x
    x = 388,168,804/13,988
  6. Step 6: Final answer
    x = 27,750.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.