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Finding the Third Proportional to 131,421 and 285,819

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Solution

The third proportional to 131,421 and 285,819 is: 621,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,421 : 285,819 = 285,819 : x
  2. Step 2: Convert to fraction form
    131,421/285,819 = 285,819/x
  3. Step 3: Cross multiply
    131,421x = 285,819 × 285,819
  4. Step 4: Simplify right side
    131,421x = 81,692,500,761
  5. Step 5: Solve for x
    x = 81,692,500,761/131,421
  6. Step 6: Final answer
    x = 621,609.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.