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Finding the Third Proportional to 84,776 and 134,210

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Solution

The third proportional to 84,776 and 134,210 is: 212,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,776 : 134,210 = 134,210 : x
  2. Step 2: Convert to fraction form
    84,776/134,210 = 134,210/x
  3. Step 3: Cross multiply
    84,776x = 134,210 × 134,210
  4. Step 4: Simplify right side
    84,776x = 18,012,324,100
  5. Step 5: Solve for x
    x = 18,012,324,100/84,776
  6. Step 6: Final answer
    x = 212,469.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.