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Finding the Third Proportional to 242,208 and 378,028

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Solution

The third proportional to 242,208 and 378,028 is: 590,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,208 : 378,028 = 378,028 : x
  2. Step 2: Convert to fraction form
    242,208/378,028 = 378,028/x
  3. Step 3: Cross multiply
    242,208x = 378,028 × 378,028
  4. Step 4: Simplify right side
    242,208x = 142,905,168,784
  5. Step 5: Solve for x
    x = 142,905,168,784/242,208
  6. Step 6: Final answer
    x = 590,010.11

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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.