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Finding the Third Proportional to 151,428 and 211,782

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Solution

The third proportional to 151,428 and 211,782 is: 296,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,428 : 211,782 = 211,782 : x
  2. Step 2: Convert to fraction form
    151,428/211,782 = 211,782/x
  3. Step 3: Cross multiply
    151,428x = 211,782 × 211,782
  4. Step 4: Simplify right side
    151,428x = 44,851,615,524
  5. Step 5: Solve for x
    x = 44,851,615,524/151,428
  6. Step 6: Final answer
    x = 296,191.03

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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.