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Finding the Third Proportional to 12,773 and 17,047

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Solution

The third proportional to 12,773 and 17,047 is: 22,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773 : 17,047 = 17,047 : x
  2. Step 2: Convert to fraction form
    12,773/17,047 = 17,047/x
  3. Step 3: Cross multiply
    12,773x = 17,047 × 17,047
  4. Step 4: Simplify right side
    12,773x = 290,600,209
  5. Step 5: Solve for x
    x = 290,600,209/12,773
  6. Step 6: Final answer
    x = 22,751.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.