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Finding the Third Proportional to 287,801 and 617,890

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Solution

The third proportional to 287,801 and 617,890 is: 1,326,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,801 : 617,890 = 617,890 : x
  2. Step 2: Convert to fraction form
    287,801/617,890 = 617,890/x
  3. Step 3: Cross multiply
    287,801x = 617,890 × 617,890
  4. Step 4: Simplify right side
    287,801x = 381,788,052,100
  5. Step 5: Solve for x
    x = 381,788,052,100/287,801
  6. Step 6: Final answer
    x = 1,326,569.58

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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.