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Finding the Third Proportional to 138,700 and 205,458

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Solution

The third proportional to 138,700 and 205,458 is: 304,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,700 : 205,458 = 205,458 : x
  2. Step 2: Convert to fraction form
    138,700/205,458 = 205,458/x
  3. Step 3: Cross multiply
    138,700x = 205,458 × 205,458
  4. Step 4: Simplify right side
    138,700x = 42,212,989,764
  5. Step 5: Solve for x
    x = 42,212,989,764/138,700
  6. Step 6: Final answer
    x = 304,347.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.