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Finding the Third Proportional to 507.09 and 760.78

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Solution

The third proportional to 507.09 and 760.78 is: 1,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.09 : 760.78 = 760.78 : x
  2. Step 2: Convert to fraction form
    507.09/760.78 = 760.78/x
  3. Step 3: Cross multiply
    507.09x = 760.78 × 760.78
  4. Step 4: Simplify right side
    507.09x = 578,788.11
  5. Step 5: Solve for x
    x = 578,788.11/507.09
  6. Step 6: Final answer
    x = 1,141.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.