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Finding the Third Proportional to 133,788 and 291,567

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Solution

The third proportional to 133,788 and 291,567 is: 635,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,788 : 291,567 = 291,567 : x
  2. Step 2: Convert to fraction form
    133,788/291,567 = 291,567/x
  3. Step 3: Cross multiply
    133,788x = 291,567 × 291,567
  4. Step 4: Simplify right side
    133,788x = 85,011,315,489
  5. Step 5: Solve for x
    x = 85,011,315,489/133,788
  6. Step 6: Final answer
    x = 635,418.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.