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Finding the Third Proportional to 782.63 and 1,177.13

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Solution

The third proportional to 782.63 and 1,177.13 is: 1,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.63 : 1,177.13 = 1,177.13 : x
  2. Step 2: Convert to fraction form
    782.63/1,177.13 = 1,177.13/x
  3. Step 3: Cross multiply
    782.63x = 1,177.13 × 1,177.13
  4. Step 4: Simplify right side
    782.63x = 1,385,623.27
  5. Step 5: Solve for x
    x = 1,385,623.27/782.63
  6. Step 6: Final answer
    x = 1,770.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.