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Finding the Third Proportional to 151,031 and 211,710

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Solution

The third proportional to 151,031 and 211,710 is: 296,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,031 : 211,710 = 211,710 : x
  2. Step 2: Convert to fraction form
    151,031/211,710 = 211,710/x
  3. Step 3: Cross multiply
    151,031x = 211,710 × 211,710
  4. Step 4: Simplify right side
    151,031x = 44,821,124,100
  5. Step 5: Solve for x
    x = 44,821,124,100/151,031
  6. Step 6: Final answer
    x = 296,767.71

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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.