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Finding the Third Proportional to 287,217 and 613,530

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Solution

The third proportional to 287,217 and 613,530 is: 1,310,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,217 : 613,530 = 613,530 : x
  2. Step 2: Convert to fraction form
    287,217/613,530 = 613,530/x
  3. Step 3: Cross multiply
    287,217x = 613,530 × 613,530
  4. Step 4: Simplify right side
    287,217x = 376,419,060,900
  5. Step 5: Solve for x
    x = 376,419,060,900/287,217
  6. Step 6: Final answer
    x = 1,310,573.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.