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Finding the Third Proportional to 56,820 and 84,906

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Solution

The third proportional to 56,820 and 84,906 is: 126,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,820 : 84,906 = 84,906 : x
  2. Step 2: Convert to fraction form
    56,820/84,906 = 84,906/x
  3. Step 3: Cross multiply
    56,820x = 84,906 × 84,906
  4. Step 4: Simplify right side
    56,820x = 7,209,028,836
  5. Step 5: Solve for x
    x = 7,209,028,836/56,820
  6. Step 6: Final answer
    x = 126,874.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.