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Finding the Third Proportional to 57,828 and 84,280

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Solution

The third proportional to 57,828 and 84,280 is: 122,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,828 : 84,280 = 84,280 : x
  2. Step 2: Convert to fraction form
    57,828/84,280 = 84,280/x
  3. Step 3: Cross multiply
    57,828x = 84,280 × 84,280
  4. Step 4: Simplify right side
    57,828x = 7,103,118,400
  5. Step 5: Solve for x
    x = 7,103,118,400/57,828
  6. Step 6: Final answer
    x = 122,831.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.