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Finding the Third Proportional to 14,156 and 19,787

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Solution

The third proportional to 14,156 and 19,787 is: 27,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156 : 19,787 = 19,787 : x
  2. Step 2: Convert to fraction form
    14,156/19,787 = 19,787/x
  3. Step 3: Cross multiply
    14,156x = 19,787 × 19,787
  4. Step 4: Simplify right side
    14,156x = 391,525,369
  5. Step 5: Solve for x
    x = 391,525,369/14,156
  6. Step 6: Final answer
    x = 27,657.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.