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Finding the Third Proportional to 772.66 and 1,583.30

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Solution

The third proportional to 772.66 and 1,583.30 is: 3,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.66 : 1,583.30 = 1,583.30 : x
  2. Step 2: Convert to fraction form
    772.66/1,583.30 = 1,583.30/x
  3. Step 3: Cross multiply
    772.66x = 1,583.30 × 1,583.30
  4. Step 4: Simplify right side
    772.66x = 2,506,828.99
  5. Step 5: Solve for x
    x = 2,506,828.99/772.66
  6. Step 6: Final answer
    x = 3,244.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.