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Finding the Third Proportional to 305.33 and 539.47

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Solution

The third proportional to 305.33 and 539.47 is: 953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.33 : 539.47 = 539.47 : x
  2. Step 2: Convert to fraction form
    305.33/539.47 = 539.47/x
  3. Step 3: Cross multiply
    305.33x = 539.47 × 539.47
  4. Step 4: Simplify right side
    305.33x = 291,030.75
  5. Step 5: Solve for x
    x = 291,030.75/305.33
  6. Step 6: Final answer
    x = 953.16

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.