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Finding the Third Proportional to 282.61 and 427.92

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Solution

The third proportional to 282.61 and 427.92 is: 647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.61 : 427.92 = 427.92 : x
  2. Step 2: Convert to fraction form
    282.61/427.92 = 427.92/x
  3. Step 3: Cross multiply
    282.61x = 427.92 × 427.92
  4. Step 4: Simplify right side
    282.61x = 183,117.13
  5. Step 5: Solve for x
    x = 183,117.13/282.61
  6. Step 6: Final answer
    x = 647.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.