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Finding the Third Proportional to 133,340 and 291,588

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Solution

The third proportional to 133,340 and 291,588 is: 637,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,340 : 291,588 = 291,588 : x
  2. Step 2: Convert to fraction form
    133,340/291,588 = 291,588/x
  3. Step 3: Cross multiply
    133,340x = 291,588 × 291,588
  4. Step 4: Simplify right side
    133,340x = 85,023,561,744
  5. Step 5: Solve for x
    x = 85,023,561,744/133,340
  6. Step 6: Final answer
    x = 637,644.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.