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Finding the Third Proportional to 61,407 and 133,326

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Solution

The third proportional to 61,407 and 133,326 is: 289,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,407 : 133,326 = 133,326 : x
  2. Step 2: Convert to fraction form
    61,407/133,326 = 133,326/x
  3. Step 3: Cross multiply
    61,407x = 133,326 × 133,326
  4. Step 4: Simplify right side
    61,407x = 17,775,822,276
  5. Step 5: Solve for x
    x = 17,775,822,276/61,407
  6. Step 6: Final answer
    x = 289,475.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.