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Finding the Third Proportional to 269,553 and 578,475

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Solution

The third proportional to 269,553 and 578,475 is: 1,241,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,553 : 578,475 = 578,475 : x
  2. Step 2: Convert to fraction form
    269,553/578,475 = 578,475/x
  3. Step 3: Cross multiply
    269,553x = 578,475 × 578,475
  4. Step 4: Simplify right side
    269,553x = 334,633,325,625
  5. Step 5: Solve for x
    x = 334,633,325,625/269,553
  6. Step 6: Final answer
    x = 1,241,437.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.