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Finding the Third Proportional to 242,211 and 378,032

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Solution

The third proportional to 242,211 and 378,032 is: 590,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,211 : 378,032 = 378,032 : x
  2. Step 2: Convert to fraction form
    242,211/378,032 = 378,032/x
  3. Step 3: Cross multiply
    242,211x = 378,032 × 378,032
  4. Step 4: Simplify right side
    242,211x = 142,908,193,024
  5. Step 5: Solve for x
    x = 142,908,193,024/242,211
  6. Step 6: Final answer
    x = 590,015.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.