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Finding the Third Proportional to 137,070 and 214,839

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Solution

The third proportional to 137,070 and 214,839 is: 336,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,070 : 214,839 = 214,839 : x
  2. Step 2: Convert to fraction form
    137,070/214,839 = 214,839/x
  3. Step 3: Cross multiply
    137,070x = 214,839 × 214,839
  4. Step 4: Simplify right side
    137,070x = 46,155,795,921
  5. Step 5: Solve for x
    x = 46,155,795,921/137,070
  6. Step 6: Final answer
    x = 336,731.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.