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Finding the Third Proportional to 246,388 and 343,280

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Solution

The third proportional to 246,388 and 343,280 is: 478,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,388 : 343,280 = 343,280 : x
  2. Step 2: Convert to fraction form
    246,388/343,280 = 343,280/x
  3. Step 3: Cross multiply
    246,388x = 343,280 × 343,280
  4. Step 4: Simplify right side
    246,388x = 117,841,158,400
  5. Step 5: Solve for x
    x = 117,841,158,400/246,388
  6. Step 6: Final answer
    x = 478,274.75

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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.