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Finding the Third Proportional to 782.30 and 1,699.73

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Solution

The third proportional to 782.30 and 1,699.73 is: 3,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.30 : 1,699.73 = 1,699.73 : x
  2. Step 2: Convert to fraction form
    782.30/1,699.73 = 1,699.73/x
  3. Step 3: Cross multiply
    782.30x = 1,699.73 × 1,699.73
  4. Step 4: Simplify right side
    782.30x = 2,889,096.95
  5. Step 5: Solve for x
    x = 2,889,096.95/782.30
  6. Step 6: Final answer
    x = 3,693.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.