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Finding the Third Proportional to 285,462 and 614,772

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Solution

The third proportional to 285,462 and 614,772 is: 1,323,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,462 : 614,772 = 614,772 : x
  2. Step 2: Convert to fraction form
    285,462/614,772 = 614,772/x
  3. Step 3: Cross multiply
    285,462x = 614,772 × 614,772
  4. Step 4: Simplify right side
    285,462x = 377,944,611,984
  5. Step 5: Solve for x
    x = 377,944,611,984/285,462
  6. Step 6: Final answer
    x = 1,323,975.21

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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.