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Finding the Third Proportional to 208,712 and 451,456

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Solution

The third proportional to 208,712 and 451,456 is: 976,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,712 : 451,456 = 451,456 : x
  2. Step 2: Convert to fraction form
    208,712/451,456 = 451,456/x
  3. Step 3: Cross multiply
    208,712x = 451,456 × 451,456
  4. Step 4: Simplify right side
    208,712x = 203,812,519,936
  5. Step 5: Solve for x
    x = 203,812,519,936/208,712
  6. Step 6: Final answer
    x = 976,525.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.