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Finding the Third Proportional to 133,047 and 291,965

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Solution

The third proportional to 133,047 and 291,965 is: 640,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,047 : 291,965 = 291,965 : x
  2. Step 2: Convert to fraction form
    133,047/291,965 = 291,965/x
  3. Step 3: Cross multiply
    133,047x = 291,965 × 291,965
  4. Step 4: Simplify right side
    133,047x = 85,243,561,225
  5. Step 5: Solve for x
    x = 85,243,561,225/133,047
  6. Step 6: Final answer
    x = 640,702.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.