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Finding the Third Proportional to 137,605 and 193,778

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Solution

The third proportional to 137,605 and 193,778 is: 272,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,605 : 193,778 = 193,778 : x
  2. Step 2: Convert to fraction form
    137,605/193,778 = 193,778/x
  3. Step 3: Cross multiply
    137,605x = 193,778 × 193,778
  4. Step 4: Simplify right side
    137,605x = 37,549,913,284
  5. Step 5: Solve for x
    x = 37,549,913,284/137,605
  6. Step 6: Final answer
    x = 272,881.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.