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Finding the Third Proportional to 287,930 and 672,642

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Solution

The third proportional to 287,930 and 672,642 is: 1,571,379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,930 : 672,642 = 672,642 : x
  2. Step 2: Convert to fraction form
    287,930/672,642 = 672,642/x
  3. Step 3: Cross multiply
    287,930x = 672,642 × 672,642
  4. Step 4: Simplify right side
    287,930x = 452,447,260,164
  5. Step 5: Solve for x
    x = 452,447,260,164/287,930
  6. Step 6: Final answer
    x = 1,571,379.36

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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.