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Finding the Third Proportional to 133,080 and 272,369

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Solution

The third proportional to 133,080 and 272,369 is: 557,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,080 : 272,369 = 272,369 : x
  2. Step 2: Convert to fraction form
    133,080/272,369 = 272,369/x
  3. Step 3: Cross multiply
    133,080x = 272,369 × 272,369
  4. Step 4: Simplify right side
    133,080x = 74,184,872,161
  5. Step 5: Solve for x
    x = 74,184,872,161/133,080
  6. Step 6: Final answer
    x = 557,445.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.