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Finding the Third Proportional to 287.46 and 442.49

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Solution

The third proportional to 287.46 and 442.49 is: 681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.46 : 442.49 = 442.49 : x
  2. Step 2: Convert to fraction form
    287.46/442.49 = 442.49/x
  3. Step 3: Cross multiply
    287.46x = 442.49 × 442.49
  4. Step 4: Simplify right side
    287.46x = 195,801.06
  5. Step 5: Solve for x
    x = 195,801.06/287.46
  6. Step 6: Final answer
    x = 681.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.