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Finding the Third Proportional to 403,136 and 582,747

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Solution

The third proportional to 403,136 and 582,747 is: 842,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,136 : 582,747 = 582,747 : x
  2. Step 2: Convert to fraction form
    403,136/582,747 = 582,747/x
  3. Step 3: Cross multiply
    403,136x = 582,747 × 582,747
  4. Step 4: Simplify right side
    403,136x = 339,594,066,009
  5. Step 5: Solve for x
    x = 339,594,066,009/403,136
  6. Step 6: Final answer
    x = 842,380.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.