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Finding the Third Proportional to 126,297 and 278,944

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Solution

The third proportional to 126,297 and 278,944 is: 616,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,297 : 278,944 = 278,944 : x
  2. Step 2: Convert to fraction form
    126,297/278,944 = 278,944/x
  3. Step 3: Cross multiply
    126,297x = 278,944 × 278,944
  4. Step 4: Simplify right side
    126,297x = 77,809,755,136
  5. Step 5: Solve for x
    x = 77,809,755,136/126,297
  6. Step 6: Final answer
    x = 616,085.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.