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Finding the Third Proportional to 137,442 and 208,077

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Solution

The third proportional to 137,442 and 208,077 is: 315,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,442 : 208,077 = 208,077 : x
  2. Step 2: Convert to fraction form
    137,442/208,077 = 208,077/x
  3. Step 3: Cross multiply
    137,442x = 208,077 × 208,077
  4. Step 4: Simplify right side
    137,442x = 43,296,037,929
  5. Step 5: Solve for x
    x = 43,296,037,929/137,442
  6. Step 6: Final answer
    x = 315,013.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.