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Finding the Third Proportional to 215,317 and 463,539

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Solution

The third proportional to 215,317 and 463,539 is: 997,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,317 : 463,539 = 463,539 : x
  2. Step 2: Convert to fraction form
    215,317/463,539 = 463,539/x
  3. Step 3: Cross multiply
    215,317x = 463,539 × 463,539
  4. Step 4: Simplify right side
    215,317x = 214,868,404,521
  5. Step 5: Solve for x
    x = 214,868,404,521/215,317
  6. Step 6: Final answer
    x = 997,916.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.