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Finding the Third Proportional to 15,686 and 18,470

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Solution

The third proportional to 15,686 and 18,470 is: 21,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686 : 18,470 = 18,470 : x
  2. Step 2: Convert to fraction form
    15,686/18,470 = 18,470/x
  3. Step 3: Cross multiply
    15,686x = 18,470 × 18,470
  4. Step 4: Simplify right side
    15,686x = 341,140,900
  5. Step 5: Solve for x
    x = 341,140,900/15,686
  6. Step 6: Final answer
    x = 21,748.11

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.