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Finding the Third Proportional to 137,446 and 210,257

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Solution

The third proportional to 137,446 and 210,257 is: 321,639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,446 : 210,257 = 210,257 : x
  2. Step 2: Convert to fraction form
    137,446/210,257 = 210,257/x
  3. Step 3: Cross multiply
    137,446x = 210,257 × 210,257
  4. Step 4: Simplify right side
    137,446x = 44,208,006,049
  5. Step 5: Solve for x
    x = 44,208,006,049/137,446
  6. Step 6: Final answer
    x = 321,639.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.