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Finding the Third Proportional to 268,972 and 401,879

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Solution

The third proportional to 268,972 and 401,879 is: 600,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,972 : 401,879 = 401,879 : x
  2. Step 2: Convert to fraction form
    268,972/401,879 = 401,879/x
  3. Step 3: Cross multiply
    268,972x = 401,879 × 401,879
  4. Step 4: Simplify right side
    268,972x = 161,506,730,641
  5. Step 5: Solve for x
    x = 161,506,730,641/268,972
  6. Step 6: Final answer
    x = 600,459.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.