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Finding the Third Proportional to 293.13 and 619.90

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Solution

The third proportional to 293.13 and 619.90 is: 1,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.13 : 619.90 = 619.90 : x
  2. Step 2: Convert to fraction form
    293.13/619.90 = 619.90/x
  3. Step 3: Cross multiply
    293.13x = 619.90 × 619.90
  4. Step 4: Simplify right side
    293.13x = 384,274.98
  5. Step 5: Solve for x
    x = 384,274.98/293.13
  6. Step 6: Final answer
    x = 1,310.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.