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Finding the Third Proportional to 80,357 and 153,421

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Solution

The third proportional to 80,357 and 153,421 is: 292,917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,357 : 153,421 = 153,421 : x
  2. Step 2: Convert to fraction form
    80,357/153,421 = 153,421/x
  3. Step 3: Cross multiply
    80,357x = 153,421 × 153,421
  4. Step 4: Simplify right side
    80,357x = 23,538,003,241
  5. Step 5: Solve for x
    x = 23,538,003,241/80,357
  6. Step 6: Final answer
    x = 292,917.89

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.