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Finding the Third Proportional to 151,011 and 211,686

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Solution

The third proportional to 151,011 and 211,686 is: 296,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,011 : 211,686 = 211,686 : x
  2. Step 2: Convert to fraction form
    151,011/211,686 = 211,686/x
  3. Step 3: Cross multiply
    151,011x = 211,686 × 211,686
  4. Step 4: Simplify right side
    151,011x = 44,810,962,596
  5. Step 5: Solve for x
    x = 44,810,962,596/151,011
  6. Step 6: Final answer
    x = 296,739.72

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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.