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Finding the Third Proportional to 253.32 and 545.72

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Solution

The third proportional to 253.32 and 545.72 is: 1,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.32 : 545.72 = 545.72 : x
  2. Step 2: Convert to fraction form
    253.32/545.72 = 545.72/x
  3. Step 3: Cross multiply
    253.32x = 545.72 × 545.72
  4. Step 4: Simplify right side
    253.32x = 297,812.15
  5. Step 5: Solve for x
    x = 297,812.15/253.32
  6. Step 6: Final answer
    x = 1,175.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.