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Finding the Third Proportional to 287,059.50 and 617,995.13

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Solution

The third proportional to 287,059.50 and 617,995.13 is: 1,330,448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,059.50 : 617,995.13 = 617,995.13 : x
  2. Step 2: Convert to fraction form
    287,059.50/617,995.13 = 617,995.13/x
  3. Step 3: Cross multiply
    287,059.50x = 617,995.13 × 617,995.13
  4. Step 4: Simplify right side
    287,059.50x = 381,917,974,523.77
  5. Step 5: Solve for x
    x = 381,917,974,523.77/287,059.50
  6. Step 6: Final answer
    x = 1,330,448.83

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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.