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Finding the Third Proportional to 137,768.77 and 208,729.13

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Solution

The third proportional to 137,768.77 and 208,729.13 is: 316,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,768.77 : 208,729.13 = 208,729.13 : x
  2. Step 2: Convert to fraction form
    137,768.77/208,729.13 = 208,729.13/x
  3. Step 3: Cross multiply
    137,768.77x = 208,729.13 × 208,729.13
  4. Step 4: Simplify right side
    137,768.77x = 43,567,847,623.27
  5. Step 5: Solve for x
    x = 43,567,847,623.27/137,768.77
  6. Step 6: Final answer
    x = 316,238.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.