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Finding the Third Proportional to 130,893 and 284,961

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Solution

The third proportional to 130,893 and 284,961 is: 620,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,893 : 284,961 = 284,961 : x
  2. Step 2: Convert to fraction form
    130,893/284,961 = 284,961/x
  3. Step 3: Cross multiply
    130,893x = 284,961 × 284,961
  4. Step 4: Simplify right side
    130,893x = 81,202,771,521
  5. Step 5: Solve for x
    x = 81,202,771,521/130,893
  6. Step 6: Final answer
    x = 620,375.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.