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Finding the Third Proportional to 345,362 and 533,379

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Solution

The third proportional to 345,362 and 533,379 is: 823,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,362 : 533,379 = 533,379 : x
  2. Step 2: Convert to fraction form
    345,362/533,379 = 533,379/x
  3. Step 3: Cross multiply
    345,362x = 533,379 × 533,379
  4. Step 4: Simplify right side
    345,362x = 284,493,157,641
  5. Step 5: Solve for x
    x = 284,493,157,641/345,362
  6. Step 6: Final answer
    x = 823,753.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.