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Finding the Third Proportional to 138,223 and 290,369

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Solution

The third proportional to 138,223 and 290,369 is: 609,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,223 : 290,369 = 290,369 : x
  2. Step 2: Convert to fraction form
    138,223/290,369 = 290,369/x
  3. Step 3: Cross multiply
    138,223x = 290,369 × 290,369
  4. Step 4: Simplify right side
    138,223x = 84,314,156,161
  5. Step 5: Solve for x
    x = 84,314,156,161/138,223
  6. Step 6: Final answer
    x = 609,986.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.