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Finding the Third Proportional to 291,215 and 446,996

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Solution

The third proportional to 291,215 and 446,996 is: 686,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,215 : 446,996 = 446,996 : x
  2. Step 2: Convert to fraction form
    291,215/446,996 = 446,996/x
  3. Step 3: Cross multiply
    291,215x = 446,996 × 446,996
  4. Step 4: Simplify right side
    291,215x = 199,805,424,016
  5. Step 5: Solve for x
    x = 199,805,424,016/291,215
  6. Step 6: Final answer
    x = 686,109.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.