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Finding the Third Proportional to 169,081 and 263,719

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Solution

The third proportional to 169,081 and 263,719 is: 411,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,081 : 263,719 = 263,719 : x
  2. Step 2: Convert to fraction form
    169,081/263,719 = 263,719/x
  3. Step 3: Cross multiply
    169,081x = 263,719 × 263,719
  4. Step 4: Simplify right side
    169,081x = 69,547,710,961
  5. Step 5: Solve for x
    x = 69,547,710,961/169,081
  6. Step 6: Final answer
    x = 411,327.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.