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Finding the Third Proportional to 99,753 and 218,886

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Solution

The third proportional to 99,753 and 218,886 is: 480,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,753 : 218,886 = 218,886 : x
  2. Step 2: Convert to fraction form
    99,753/218,886 = 218,886/x
  3. Step 3: Cross multiply
    99,753x = 218,886 × 218,886
  4. Step 4: Simplify right side
    99,753x = 47,911,080,996
  5. Step 5: Solve for x
    x = 47,911,080,996/99,753
  6. Step 6: Final answer
    x = 480,297.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.