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Finding the Third Proportional to 137,267 and 208,543

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Solution

The third proportional to 137,267 and 208,543 is: 316,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,267 : 208,543 = 208,543 : x
  2. Step 2: Convert to fraction form
    137,267/208,543 = 208,543/x
  3. Step 3: Cross multiply
    137,267x = 208,543 × 208,543
  4. Step 4: Simplify right side
    137,267x = 43,490,182,849
  5. Step 5: Solve for x
    x = 43,490,182,849/137,267
  6. Step 6: Final answer
    x = 316,829.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.