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Finding the Third Proportional to 477.75 and 761.38

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Solution

The third proportional to 477.75 and 761.38 is: 1,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.75 : 761.38 = 761.38 : x
  2. Step 2: Convert to fraction form
    477.75/761.38 = 761.38/x
  3. Step 3: Cross multiply
    477.75x = 761.38 × 761.38
  4. Step 4: Simplify right side
    477.75x = 579,691.89
  5. Step 5: Solve for x
    x = 579,691.89/477.75
  6. Step 6: Final answer
    x = 1,213.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.