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Finding the Third Proportional to 137,598 and 210,339

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Solution

The third proportional to 137,598 and 210,339 is: 321,534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,598 : 210,339 = 210,339 : x
  2. Step 2: Convert to fraction form
    137,598/210,339 = 210,339/x
  3. Step 3: Cross multiply
    137,598x = 210,339 × 210,339
  4. Step 4: Simplify right side
    137,598x = 44,242,494,921
  5. Step 5: Solve for x
    x = 44,242,494,921/137,598
  6. Step 6: Final answer
    x = 321,534.43

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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.