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Finding the Third Proportional to 98,888 and 219,130

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Solution

The third proportional to 98,888 and 219,130 is: 485,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,888 : 219,130 = 219,130 : x
  2. Step 2: Convert to fraction form
    98,888/219,130 = 219,130/x
  3. Step 3: Cross multiply
    98,888x = 219,130 × 219,130
  4. Step 4: Simplify right side
    98,888x = 48,017,956,900
  5. Step 5: Solve for x
    x = 48,017,956,900/98,888
  6. Step 6: Final answer
    x = 485,579.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.