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Finding the Third Proportional to 305.13 and 801.06

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Solution

The third proportional to 305.13 and 801.06 is: 2,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.13 : 801.06 = 801.06 : x
  2. Step 2: Convert to fraction form
    305.13/801.06 = 801.06/x
  3. Step 3: Cross multiply
    305.13x = 801.06 × 801.06
  4. Step 4: Simplify right side
    305.13x = 641,701.13
  5. Step 5: Solve for x
    x = 641,701.13/305.13
  6. Step 6: Final answer
    x = 2,103.08

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.