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Finding the Third Proportional to 782.79 and 1,701.63

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Solution

The third proportional to 782.79 and 1,701.63 is: 3,699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.79 : 1,701.63 = 1,701.63 : x
  2. Step 2: Convert to fraction form
    782.79/1,701.63 = 1,701.63/x
  3. Step 3: Cross multiply
    782.79x = 1,701.63 × 1,701.63
  4. Step 4: Simplify right side
    782.79x = 2,895,554.23
  5. Step 5: Solve for x
    x = 2,895,554.23/782.79
  6. Step 6: Final answer
    x = 3,699.02

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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.