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Finding the Third Proportional to 137,086 and 205,623

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Solution

The third proportional to 137,086 and 205,623 is: 308,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,086 : 205,623 = 205,623 : x
  2. Step 2: Convert to fraction form
    137,086/205,623 = 205,623/x
  3. Step 3: Cross multiply
    137,086x = 205,623 × 205,623
  4. Step 4: Simplify right side
    137,086x = 42,280,818,129
  5. Step 5: Solve for x
    x = 42,280,818,129/137,086
  6. Step 6: Final answer
    x = 308,425.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.