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Finding the Third Proportional to 255,981 and 352,863

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Solution

The third proportional to 255,981 and 352,863 is: 486,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,981 : 352,863 = 352,863 : x
  2. Step 2: Convert to fraction form
    255,981/352,863 = 352,863/x
  3. Step 3: Cross multiply
    255,981x = 352,863 × 352,863
  4. Step 4: Simplify right side
    255,981x = 124,512,296,769
  5. Step 5: Solve for x
    x = 124,512,296,769/255,981
  6. Step 6: Final answer
    x = 486,412.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.