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Finding the Third Proportional to 133,690 and 285,421

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Solution

The third proportional to 133,690 and 285,421 is: 609,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,690 : 285,421 = 285,421 : x
  2. Step 2: Convert to fraction form
    133,690/285,421 = 285,421/x
  3. Step 3: Cross multiply
    133,690x = 285,421 × 285,421
  4. Step 4: Simplify right side
    133,690x = 81,465,147,241
  5. Step 5: Solve for x
    x = 81,465,147,241/133,690
  6. Step 6: Final answer
    x = 609,358.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.