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Finding the Third Proportional to 137,385 and 217,143

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Solution

The third proportional to 137,385 and 217,143 is: 343,204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,385 : 217,143 = 217,143 : x
  2. Step 2: Convert to fraction form
    137,385/217,143 = 217,143/x
  3. Step 3: Cross multiply
    137,385x = 217,143 × 217,143
  4. Step 4: Simplify right side
    137,385x = 47,151,082,449
  5. Step 5: Solve for x
    x = 47,151,082,449/137,385
  6. Step 6: Final answer
    x = 343,204.01

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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.