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Finding the Third Proportional to 138,225 and 290,373

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Solution

The third proportional to 138,225 and 290,373 is: 609,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,225 : 290,373 = 290,373 : x
  2. Step 2: Convert to fraction form
    138,225/290,373 = 290,373/x
  3. Step 3: Cross multiply
    138,225x = 290,373 × 290,373
  4. Step 4: Simplify right side
    138,225x = 84,316,479,129
  5. Step 5: Solve for x
    x = 84,316,479,129/138,225
  6. Step 6: Final answer
    x = 609,994.42

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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.