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Finding the Third Proportional to 138,521 and 214,909

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Solution

The third proportional to 138,521 and 214,909 is: 333,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,521 : 214,909 = 214,909 : x
  2. Step 2: Convert to fraction form
    138,521/214,909 = 214,909/x
  3. Step 3: Cross multiply
    138,521x = 214,909 × 214,909
  4. Step 4: Simplify right side
    138,521x = 46,185,878,281
  5. Step 5: Solve for x
    x = 46,185,878,281/138,521
  6. Step 6: Final answer
    x = 333,421.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.