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Finding the Third Proportional to 61,110 and 130,644

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Solution

The third proportional to 61,110 and 130,644 is: 279,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,110 : 130,644 = 130,644 : x
  2. Step 2: Convert to fraction form
    61,110/130,644 = 130,644/x
  3. Step 3: Cross multiply
    61,110x = 130,644 × 130,644
  4. Step 4: Simplify right side
    61,110x = 17,067,854,736
  5. Step 5: Solve for x
    x = 17,067,854,736/61,110
  6. Step 6: Final answer
    x = 279,297.25

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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.