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Finding the Third Proportional to 119,988 and 254,769

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Solution

The third proportional to 119,988 and 254,769 is: 540,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,988 : 254,769 = 254,769 : x
  2. Step 2: Convert to fraction form
    119,988/254,769 = 254,769/x
  3. Step 3: Cross multiply
    119,988x = 254,769 × 254,769
  4. Step 4: Simplify right side
    119,988x = 64,907,243,361
  5. Step 5: Solve for x
    x = 64,907,243,361/119,988
  6. Step 6: Final answer
    x = 540,947.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.