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Finding the Third Proportional to 296,292 and 451,728

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Solution

The third proportional to 296,292 and 451,728 is: 688,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,292 : 451,728 = 451,728 : x
  2. Step 2: Convert to fraction form
    296,292/451,728 = 451,728/x
  3. Step 3: Cross multiply
    296,292x = 451,728 × 451,728
  4. Step 4: Simplify right side
    296,292x = 204,058,185,984
  5. Step 5: Solve for x
    x = 204,058,185,984/296,292
  6. Step 6: Final answer
    x = 688,706.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.