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Finding the Third Proportional to 138,645 and 205,929

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Solution

The third proportional to 138,645 and 205,929 is: 305,865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,645 : 205,929 = 205,929 : x
  2. Step 2: Convert to fraction form
    138,645/205,929 = 205,929/x
  3. Step 3: Cross multiply
    138,645x = 205,929 × 205,929
  4. Step 4: Simplify right side
    138,645x = 42,406,753,041
  5. Step 5: Solve for x
    x = 42,406,753,041/138,645
  6. Step 6: Final answer
    x = 305,865.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.