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Finding the Third Proportional to 61,668 and 133,560

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Solution

The third proportional to 61,668 and 133,560 is: 289,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,668 : 133,560 = 133,560 : x
  2. Step 2: Convert to fraction form
    61,668/133,560 = 133,560/x
  3. Step 3: Cross multiply
    61,668x = 133,560 × 133,560
  4. Step 4: Simplify right side
    61,668x = 17,838,273,600
  5. Step 5: Solve for x
    x = 17,838,273,600/61,668
  6. Step 6: Final answer
    x = 289,263.05

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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.