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Finding the Third Proportional to 287,803 and 617,894

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Solution

The third proportional to 287,803 and 617,894 is: 1,326,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,803 : 617,894 = 617,894 : x
  2. Step 2: Convert to fraction form
    287,803/617,894 = 617,894/x
  3. Step 3: Cross multiply
    287,803x = 617,894 × 617,894
  4. Step 4: Simplify right side
    287,803x = 381,792,995,236
  5. Step 5: Solve for x
    x = 381,792,995,236/287,803
  6. Step 6: Final answer
    x = 1,326,577.54

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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.