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Finding the Third Proportional to 285.61 and 387.02

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Solution

The third proportional to 285.61 and 387.02 is: 524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.61 : 387.02 = 387.02 : x
  2. Step 2: Convert to fraction form
    285.61/387.02 = 387.02/x
  3. Step 3: Cross multiply
    285.61x = 387.02 × 387.02
  4. Step 4: Simplify right side
    285.61x = 149,787.14
  5. Step 5: Solve for x
    x = 149,787.14/285.61
  6. Step 6: Final answer
    x = 524.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.