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Finding the Third Proportional to 306.84 and 501.05

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Solution

The third proportional to 306.84 and 501.05 is: 818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.84 : 501.05 = 501.05 : x
  2. Step 2: Convert to fraction form
    306.84/501.05 = 501.05/x
  3. Step 3: Cross multiply
    306.84x = 501.05 × 501.05
  4. Step 4: Simplify right side
    306.84x = 251,047.97
  5. Step 5: Solve for x
    x = 251,047.97/306.84
  6. Step 6: Final answer
    x = 818.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.