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Finding the Third Proportional to 61,409.39 and 130,199.91

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Solution

The third proportional to 61,409.39 and 130,199.91 is: 276,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,409.39 : 130,199.91 = 130,199.91 : x
  2. Step 2: Convert to fraction form
    61,409.39/130,199.91 = 130,199.91/x
  3. Step 3: Cross multiply
    61,409.39x = 130,199.91 × 130,199.91
  4. Step 4: Simplify right side
    61,409.39x = 16,952,015,587.51
  5. Step 5: Solve for x
    x = 16,952,015,587.51/61,409.39
  6. Step 6: Final answer
    x = 276,049.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.