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Finding the Third Proportional to 253.41 and 555.48

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Solution

The third proportional to 253.41 and 555.48 is: 1,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.41 : 555.48 = 555.48 : x
  2. Step 2: Convert to fraction form
    253.41/555.48 = 555.48/x
  3. Step 3: Cross multiply
    253.41x = 555.48 × 555.48
  4. Step 4: Simplify right side
    253.41x = 308,554.15
  5. Step 5: Solve for x
    x = 308,554.15/253.41
  6. Step 6: Final answer
    x = 1,217.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.