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Finding the Third Proportional to 51,988 and 74,345

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Solution

The third proportional to 51,988 and 74,345 is: 106,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988 : 74,345 = 74,345 : x
  2. Step 2: Convert to fraction form
    51,988/74,345 = 74,345/x
  3. Step 3: Cross multiply
    51,988x = 74,345 × 74,345
  4. Step 4: Simplify right side
    51,988x = 5,527,179,025
  5. Step 5: Solve for x
    x = 5,527,179,025/51,988
  6. Step 6: Final answer
    x = 106,316.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.