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Finding the Third Proportional to 420,162.19 and 603,999.28

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Solution

The third proportional to 420,162.19 and 603,999.28 is: 868,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,162.19 : 603,999.28 = 603,999.28 : x
  2. Step 2: Convert to fraction form
    420,162.19/603,999.28 = 603,999.28/x
  3. Step 3: Cross multiply
    420,162.19x = 603,999.28 × 603,999.28
  4. Step 4: Simplify right side
    420,162.19x = 364,815,131,750.52
  5. Step 5: Solve for x
    x = 364,815,131,750.52/420,162.19
  6. Step 6: Final answer
    x = 868,272.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.