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Finding the Third Proportional to 56,169 and 84,609

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Solution

The third proportional to 56,169 and 84,609 is: 127,449

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,169 : 84,609 = 84,609 : x
  2. Step 2: Convert to fraction form
    56,169/84,609 = 84,609/x
  3. Step 3: Cross multiply
    56,169x = 84,609 × 84,609
  4. Step 4: Simplify right side
    56,169x = 7,158,682,881
  5. Step 5: Solve for x
    x = 7,158,682,881/56,169
  6. Step 6: Final answer
    x = 127,449

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.