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Finding the Third Proportional to 619.88 and 1,341.94

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Solution

The third proportional to 619.88 and 1,341.94 is: 2,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.88 : 1,341.94 = 1,341.94 : x
  2. Step 2: Convert to fraction form
    619.88/1,341.94 = 1,341.94/x
  3. Step 3: Cross multiply
    619.88x = 1,341.94 × 1,341.94
  4. Step 4: Simplify right side
    619.88x = 1,800,796.25
  5. Step 5: Solve for x
    x = 1,800,796.25/619.88
  6. Step 6: Final answer
    x = 2,905.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.