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Finding the Third Proportional to 287,218 and 613,531

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Solution

The third proportional to 287,218 and 613,531 is: 1,310,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,218 : 613,531 = 613,531 : x
  2. Step 2: Convert to fraction form
    287,218/613,531 = 613,531/x
  3. Step 3: Cross multiply
    287,218x = 613,531 × 613,531
  4. Step 4: Simplify right side
    287,218x = 376,420,287,961
  5. Step 5: Solve for x
    x = 376,420,287,961/287,218
  6. Step 6: Final answer
    x = 1,310,573.46

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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.