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Finding the Third Proportional to 291,207.38 and 446,983.88

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Solution

The third proportional to 291,207.38 and 446,983.88 is: 686,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,207.38 : 446,983.88 = 446,983.88 : x
  2. Step 2: Convert to fraction form
    291,207.38/446,983.88 = 446,983.88/x
  3. Step 3: Cross multiply
    291,207.38x = 446,983.88 × 446,983.88
  4. Step 4: Simplify right side
    291,207.38x = 199,794,584,510.02
  5. Step 5: Solve for x
    x = 199,794,584,510.02/291,207.38
  6. Step 6: Final answer
    x = 686,090.40

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