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Finding the Third Proportional to 287,048 and 617,972

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Solution

The third proportional to 287,048 and 617,972 is: 1,330,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,048 : 617,972 = 617,972 : x
  2. Step 2: Convert to fraction form
    287,048/617,972 = 617,972/x
  3. Step 3: Cross multiply
    287,048x = 617,972 × 617,972
  4. Step 4: Simplify right side
    287,048x = 381,889,392,784
  5. Step 5: Solve for x
    x = 381,889,392,784/287,048
  6. Step 6: Final answer
    x = 1,330,402.56

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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.