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Finding the Third Proportional to 821.71 and 1,775.99

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Solution

The third proportional to 821.71 and 1,775.99 is: 3,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.71 : 1,775.99 = 1,775.99 : x
  2. Step 2: Convert to fraction form
    821.71/1,775.99 = 1,775.99/x
  3. Step 3: Cross multiply
    821.71x = 1,775.99 × 1,775.99
  4. Step 4: Simplify right side
    821.71x = 3,154,134.38
  5. Step 5: Solve for x
    x = 3,154,134.38/821.71
  6. Step 6: Final answer
    x = 3,838.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.