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Finding the Third Proportional to 137,117 and 208,321

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Solution

The third proportional to 137,117 and 208,321 is: 316,500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,117 : 208,321 = 208,321 : x
  2. Step 2: Convert to fraction form
    137,117/208,321 = 208,321/x
  3. Step 3: Cross multiply
    137,117x = 208,321 × 208,321
  4. Step 4: Simplify right side
    137,117x = 43,397,639,041
  5. Step 5: Solve for x
    x = 43,397,639,041/137,117
  6. Step 6: Final answer
    x = 316,500.79

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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.