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Finding the Third Proportional to 61,764 and 133,320

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Solution

The third proportional to 61,764 and 133,320 is: 287,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,764 : 133,320 = 133,320 : x
  2. Step 2: Convert to fraction form
    61,764/133,320 = 133,320/x
  3. Step 3: Cross multiply
    61,764x = 133,320 × 133,320
  4. Step 4: Simplify right side
    61,764x = 17,774,222,400
  5. Step 5: Solve for x
    x = 17,774,222,400/61,764
  6. Step 6: Final answer
    x = 287,776.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.