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Finding the Third Proportional to 397,136 and 805,792

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Solution

The third proportional to 397,136 and 805,792 is: 1,634,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,136 : 805,792 = 805,792 : x
  2. Step 2: Convert to fraction form
    397,136/805,792 = 805,792/x
  3. Step 3: Cross multiply
    397,136x = 805,792 × 805,792
  4. Step 4: Simplify right side
    397,136x = 649,300,747,264
  5. Step 5: Solve for x
    x = 649,300,747,264/397,136
  6. Step 6: Final answer
    x = 1,634,958.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.