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Finding the Third Proportional to 242,209 and 378,029

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Solution

The third proportional to 242,209 and 378,029 is: 590,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,209 : 378,029 = 378,029 : x
  2. Step 2: Convert to fraction form
    242,209/378,029 = 378,029/x
  3. Step 3: Cross multiply
    242,209x = 378,029 × 378,029
  4. Step 4: Simplify right side
    242,209x = 142,905,924,841
  5. Step 5: Solve for x
    x = 142,905,924,841/242,209
  6. Step 6: Final answer
    x = 590,010.80

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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.