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Finding the Third Proportional to 240.75 and 507.45

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Solution

The third proportional to 240.75 and 507.45 is: 1,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 507.45 = 507.45 : x
  2. Step 2: Convert to fraction form
    240.75/507.45 = 507.45/x
  3. Step 3: Cross multiply
    240.75x = 507.45 × 507.45
  4. Step 4: Simplify right side
    240.75x = 257,500.75
  5. Step 5: Solve for x
    x = 257,500.75/240.75
  6. Step 6: Final answer
    x = 1,069.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.