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Finding the Third Proportional to 698.25 and 1,649.63

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Solution

The third proportional to 698.25 and 1,649.63 is: 3,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.25 : 1,649.63 = 1,649.63 : x
  2. Step 2: Convert to fraction form
    698.25/1,649.63 = 1,649.63/x
  3. Step 3: Cross multiply
    698.25x = 1,649.63 × 1,649.63
  4. Step 4: Simplify right side
    698.25x = 2,721,262.64
  5. Step 5: Solve for x
    x = 2,721,262.64/698.25
  6. Step 6: Final answer
    x = 3,897.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.