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Finding the Third Proportional to 51,703 and 74,545

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Solution

The third proportional to 51,703 and 74,545 is: 107,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703 : 74,545 = 74,545 : x
  2. Step 2: Convert to fraction form
    51,703/74,545 = 74,545/x
  3. Step 3: Cross multiply
    51,703x = 74,545 × 74,545
  4. Step 4: Simplify right side
    51,703x = 5,556,957,025
  5. Step 5: Solve for x
    x = 5,556,957,025/51,703
  6. Step 6: Final answer
    x = 107,478.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.