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Finding the Third Proportional to 287,763 and 672,121

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Solution

The third proportional to 287,763 and 672,121 is: 1,569,856.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,763 : 672,121 = 672,121 : x
  2. Step 2: Convert to fraction form
    287,763/672,121 = 672,121/x
  3. Step 3: Cross multiply
    287,763x = 672,121 × 672,121
  4. Step 4: Simplify right side
    287,763x = 451,746,638,641
  5. Step 5: Solve for x
    x = 451,746,638,641/287,763
  6. Step 6: Final answer
    x = 1,569,856.58

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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.