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Finding the Third Proportional to 119,977 and 254,711

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Solution

The third proportional to 119,977 and 254,711 is: 540,751.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,977 : 254,711 = 254,711 : x
  2. Step 2: Convert to fraction form
    119,977/254,711 = 254,711/x
  3. Step 3: Cross multiply
    119,977x = 254,711 × 254,711
  4. Step 4: Simplify right side
    119,977x = 64,877,693,521
  5. Step 5: Solve for x
    x = 64,877,693,521/119,977
  6. Step 6: Final answer
    x = 540,751.09

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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.