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Finding the Third Proportional to 98,812 and 219,730

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Solution

The third proportional to 98,812 and 219,730 is: 488,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,812 : 219,730 = 219,730 : x
  2. Step 2: Convert to fraction form
    98,812/219,730 = 219,730/x
  3. Step 3: Cross multiply
    98,812x = 219,730 × 219,730
  4. Step 4: Simplify right side
    98,812x = 48,281,272,900
  5. Step 5: Solve for x
    x = 48,281,272,900/98,812
  6. Step 6: Final answer
    x = 488,617.50

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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.