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Finding the Third Proportional to 246,390 and 343,283

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Solution

The third proportional to 246,390 and 343,283 is: 478,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,390 : 343,283 = 343,283 : x
  2. Step 2: Convert to fraction form
    246,390/343,283 = 343,283/x
  3. Step 3: Cross multiply
    246,390x = 343,283 × 343,283
  4. Step 4: Simplify right side
    246,390x = 117,843,218,089
  5. Step 5: Solve for x
    x = 117,843,218,089/246,390
  6. Step 6: Final answer
    x = 478,279.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.