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Finding the Third Proportional to 15,126 and 19,773

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Solution

The third proportional to 15,126 and 19,773 is: 25,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,126 : 19,773 = 19,773 : x
  2. Step 2: Convert to fraction form
    15,126/19,773 = 19,773/x
  3. Step 3: Cross multiply
    15,126x = 19,773 × 19,773
  4. Step 4: Simplify right side
    15,126x = 390,971,529
  5. Step 5: Solve for x
    x = 390,971,529/15,126
  6. Step 6: Final answer
    x = 25,847.65

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.