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Finding the Third Proportional to 34,776 and 66,782

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Solution

The third proportional to 34,776 and 66,782 is: 128,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,776 : 66,782 = 66,782 : x
  2. Step 2: Convert to fraction form
    34,776/66,782 = 66,782/x
  3. Step 3: Cross multiply
    34,776x = 66,782 × 66,782
  4. Step 4: Simplify right side
    34,776x = 4,459,835,524
  5. Step 5: Solve for x
    x = 4,459,835,524/34,776
  6. Step 6: Final answer
    x = 128,244.64

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.