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Finding the Third Proportional to 403,792 and 564,728

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Solution

The third proportional to 403,792 and 564,728 is: 789,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,792 : 564,728 = 564,728 : x
  2. Step 2: Convert to fraction form
    403,792/564,728 = 564,728/x
  3. Step 3: Cross multiply
    403,792x = 564,728 × 564,728
  4. Step 4: Simplify right side
    403,792x = 318,917,713,984
  5. Step 5: Solve for x
    x = 318,917,713,984/403,792
  6. Step 6: Final answer
    x = 789,806.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.