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Finding the Third Proportional to 782.81 and 1,672.88

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Solution

The third proportional to 782.81 and 1,672.88 is: 3,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.81 : 1,672.88 = 1,672.88 : x
  2. Step 2: Convert to fraction form
    782.81/1,672.88 = 1,672.88/x
  3. Step 3: Cross multiply
    782.81x = 1,672.88 × 1,672.88
  4. Step 4: Simplify right side
    782.81x = 2,798,510.77
  5. Step 5: Solve for x
    x = 2,798,510.77/782.81
  6. Step 6: Final answer
    x = 3,574.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.