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Finding the Third Proportional to 507.42 and 761.20

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Solution

The third proportional to 507.42 and 761.20 is: 1,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 761.20 = 761.20 : x
  2. Step 2: Convert to fraction form
    507.42/761.20 = 761.20/x
  3. Step 3: Cross multiply
    507.42x = 761.20 × 761.20
  4. Step 4: Simplify right side
    507.42x = 579,430.20
  5. Step 5: Solve for x
    x = 579,430.20/507.42
  6. Step 6: Final answer
    x = 1,141.91

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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.