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Finding the Third Proportional to 119,979 and 262,557

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Solution

The third proportional to 119,979 and 262,557 is: 574,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,979 : 262,557 = 262,557 : x
  2. Step 2: Convert to fraction form
    119,979/262,557 = 262,557/x
  3. Step 3: Cross multiply
    119,979x = 262,557 × 262,557
  4. Step 4: Simplify right side
    119,979x = 68,936,178,249
  5. Step 5: Solve for x
    x = 68,936,178,249/119,979
  6. Step 6: Final answer
    x = 574,568.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.