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Finding the Third Proportional to 259,636 and 400,918

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Solution

The third proportional to 259,636 and 400,918 is: 619,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,636 : 400,918 = 400,918 : x
  2. Step 2: Convert to fraction form
    259,636/400,918 = 400,918/x
  3. Step 3: Cross multiply
    259,636x = 400,918 × 400,918
  4. Step 4: Simplify right side
    259,636x = 160,735,242,724
  5. Step 5: Solve for x
    x = 160,735,242,724/259,636
  6. Step 6: Final answer
    x = 619,079.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.