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Finding the Third Proportional to 291,213 and 446,993

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Solution

The third proportional to 291,213 and 446,993 is: 686,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,213 : 446,993 = 446,993 : x
  2. Step 2: Convert to fraction form
    291,213/446,993 = 446,993/x
  3. Step 3: Cross multiply
    291,213x = 446,993 × 446,993
  4. Step 4: Simplify right side
    291,213x = 199,802,742,049
  5. Step 5: Solve for x
    x = 199,802,742,049/291,213
  6. Step 6: Final answer
    x = 686,105.16

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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.