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Finding the Third Proportional to 150,908 and 211,511

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Solution

The third proportional to 150,908 and 211,511 is: 296,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,908 : 211,511 = 211,511 : x
  2. Step 2: Convert to fraction form
    150,908/211,511 = 211,511/x
  3. Step 3: Cross multiply
    150,908x = 211,511 × 211,511
  4. Step 4: Simplify right side
    150,908x = 44,736,903,121
  5. Step 5: Solve for x
    x = 44,736,903,121/150,908
  6. Step 6: Final answer
    x = 296,451.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.