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Finding the Third Proportional to 1,966.78 and 4,457.53

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Solution

The third proportional to 1,966.78 and 4,457.53 is: 10,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.78 : 4,457.53 = 4,457.53 : x
  2. Step 2: Convert to fraction form
    1,966.78/4,457.53 = 4,457.53/x
  3. Step 3: Cross multiply
    1,966.78x = 4,457.53 × 4,457.53
  4. Step 4: Simplify right side
    1,966.78x = 19,869,584.84
  5. Step 5: Solve for x
    x = 19,869,584.84/1,966.78
  6. Step 6: Final answer
    x = 10,102.59

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.