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Finding the Third Proportional to 98,881.50 and 219,120

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Solution

The third proportional to 98,881.50 and 219,120 is: 485,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,881.50 : 219,120 = 219,120 : x
  2. Step 2: Convert to fraction form
    98,881.50/219,120 = 219,120/x
  3. Step 3: Cross multiply
    98,881.50x = 219,120 × 219,120
  4. Step 4: Simplify right side
    98,881.50x = 48,013,574,400
  5. Step 5: Solve for x
    x = 48,013,574,400/98,881.50
  6. Step 6: Final answer
    x = 485,566.81

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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.