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Finding the Third Proportional to 133,407 and 291,438

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Solution

The third proportional to 133,407 and 291,438 is: 636,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,407 : 291,438 = 291,438 : x
  2. Step 2: Convert to fraction form
    133,407/291,438 = 291,438/x
  3. Step 3: Cross multiply
    133,407x = 291,438 × 291,438
  4. Step 4: Simplify right side
    133,407x = 84,936,107,844
  5. Step 5: Solve for x
    x = 84,936,107,844/133,407
  6. Step 6: Final answer
    x = 636,669.05

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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.