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Finding the Third Proportional to 133,038 and 291,946

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Solution

The third proportional to 133,038 and 291,946 is: 640,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038 : 291,946 = 291,946 : x
  2. Step 2: Convert to fraction form
    133,038/291,946 = 291,946/x
  3. Step 3: Cross multiply
    133,038x = 291,946 × 291,946
  4. Step 4: Simplify right side
    133,038x = 85,232,466,916
  5. Step 5: Solve for x
    x = 85,232,466,916/133,038
  6. Step 6: Final answer
    x = 640,662.57

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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.