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Finding the Third Proportional to 136,072 and 214,543

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Solution

The third proportional to 136,072 and 214,543 is: 338,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,072 : 214,543 = 214,543 : x
  2. Step 2: Convert to fraction form
    136,072/214,543 = 214,543/x
  3. Step 3: Cross multiply
    136,072x = 214,543 × 214,543
  4. Step 4: Simplify right side
    136,072x = 46,028,698,849
  5. Step 5: Solve for x
    x = 46,028,698,849/136,072
  6. Step 6: Final answer
    x = 338,267.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.