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Finding the Third Proportional to 137,021 and 214,998

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Solution

The third proportional to 137,021 and 214,998 is: 337,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,021 : 214,998 = 214,998 : x
  2. Step 2: Convert to fraction form
    137,021/214,998 = 214,998/x
  3. Step 3: Cross multiply
    137,021x = 214,998 × 214,998
  4. Step 4: Simplify right side
    137,021x = 46,224,140,004
  5. Step 5: Solve for x
    x = 46,224,140,004/137,021
  6. Step 6: Final answer
    x = 337,350.77

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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.