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Finding the Third Proportional to 390.84 and 567.87

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Solution

The third proportional to 390.84 and 567.87 is: 825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.84 : 567.87 = 567.87 : x
  2. Step 2: Convert to fraction form
    390.84/567.87 = 567.87/x
  3. Step 3: Cross multiply
    390.84x = 567.87 × 567.87
  4. Step 4: Simplify right side
    390.84x = 322,476.47
  5. Step 5: Solve for x
    x = 322,476.47/390.84
  6. Step 6: Final answer
    x = 825.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.