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Finding the Third Proportional to 647.88 and 1,511.44

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Solution

The third proportional to 647.88 and 1,511.44 is: 3,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.88 : 1,511.44 = 1,511.44 : x
  2. Step 2: Convert to fraction form
    647.88/1,511.44 = 1,511.44/x
  3. Step 3: Cross multiply
    647.88x = 1,511.44 × 1,511.44
  4. Step 4: Simplify right side
    647.88x = 2,284,443.32
  5. Step 5: Solve for x
    x = 2,284,443.32/647.88
  6. Step 6: Final answer
    x = 3,526.06

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.