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Finding the Third Proportional to 61,560 and 131,544

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Solution

The third proportional to 61,560 and 131,544 is: 281,088.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,560 : 131,544 = 131,544 : x
  2. Step 2: Convert to fraction form
    61,560/131,544 = 131,544/x
  3. Step 3: Cross multiply
    61,560x = 131,544 × 131,544
  4. Step 4: Simplify right side
    61,560x = 17,303,823,936
  5. Step 5: Solve for x
    x = 17,303,823,936/61,560
  6. Step 6: Final answer
    x = 281,088.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.