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Finding the Third Proportional to 360.07 and 497.55

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Solution

The third proportional to 360.07 and 497.55 is: 687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.07 : 497.55 = 497.55 : x
  2. Step 2: Convert to fraction form
    360.07/497.55 = 497.55/x
  3. Step 3: Cross multiply
    360.07x = 497.55 × 497.55
  4. Step 4: Simplify right side
    360.07x = 247,554.84
  5. Step 5: Solve for x
    x = 247,554.84/360.07
  6. Step 6: Final answer
    x = 687.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.