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Finding the Third Proportional to 287,939 and 672,664

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Solution

The third proportional to 287,939 and 672,664 is: 1,571,433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,939 : 672,664 = 672,664 : x
  2. Step 2: Convert to fraction form
    287,939/672,664 = 672,664/x
  3. Step 3: Cross multiply
    287,939x = 672,664 × 672,664
  4. Step 4: Simplify right side
    287,939x = 452,476,856,896
  5. Step 5: Solve for x
    x = 452,476,856,896/287,939
  6. Step 6: Final answer
    x = 1,571,433.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.