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Finding the Third Proportional to 215,520 and 468,804

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Solution

The third proportional to 215,520 and 468,804 is: 1,019,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,520 : 468,804 = 468,804 : x
  2. Step 2: Convert to fraction form
    215,520/468,804 = 468,804/x
  3. Step 3: Cross multiply
    215,520x = 468,804 × 468,804
  4. Step 4: Simplify right side
    215,520x = 219,777,190,416
  5. Step 5: Solve for x
    x = 219,777,190,416/215,520
  6. Step 6: Final answer
    x = 1,019,753.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.