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Finding the Third Proportional to 119,990 and 254,774

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Solution

The third proportional to 119,990 and 254,774 is: 540,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,990 : 254,774 = 254,774 : x
  2. Step 2: Convert to fraction form
    119,990/254,774 = 254,774/x
  3. Step 3: Cross multiply
    119,990x = 254,774 × 254,774
  4. Step 4: Simplify right side
    119,990x = 64,909,791,076
  5. Step 5: Solve for x
    x = 64,909,791,076/119,990
  6. Step 6: Final answer
    x = 540,960.01

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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.