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Finding the Third Proportional to 252.91 and 607.61

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Solution

The third proportional to 252.91 and 607.61 is: 1,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.91 : 607.61 = 607.61 : x
  2. Step 2: Convert to fraction form
    252.91/607.61 = 607.61/x
  3. Step 3: Cross multiply
    252.91x = 607.61 × 607.61
  4. Step 4: Simplify right side
    252.91x = 369,184.41
  5. Step 5: Solve for x
    x = 369,184.41/252.91
  6. Step 6: Final answer
    x = 1,459.72

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.