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Finding the Third Proportional to 126,282 and 277,470

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Solution

The third proportional to 126,282 and 277,470 is: 609,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,282 : 277,470 = 277,470 : x
  2. Step 2: Convert to fraction form
    126,282/277,470 = 277,470/x
  3. Step 3: Cross multiply
    126,282x = 277,470 × 277,470
  4. Step 4: Simplify right side
    126,282x = 76,989,600,900
  5. Step 5: Solve for x
    x = 76,989,600,900/126,282
  6. Step 6: Final answer
    x = 609,664.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.