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Finding the Third Proportional to 799.78 and 1,705.78

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Solution

The third proportional to 799.78 and 1,705.78 is: 3,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.78 : 1,705.78 = 1,705.78 : x
  2. Step 2: Convert to fraction form
    799.78/1,705.78 = 1,705.78/x
  3. Step 3: Cross multiply
    799.78x = 1,705.78 × 1,705.78
  4. Step 4: Simplify right side
    799.78x = 2,909,689.67
  5. Step 5: Solve for x
    x = 2,909,689.67/799.78
  6. Step 6: Final answer
    x = 3,638.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.