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Finding the Third Proportional to 221,001.75 and 470,839.50

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Solution

The third proportional to 221,001.75 and 470,839.50 is: 1,003,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,001.75 : 470,839.50 = 470,839.50 : x
  2. Step 2: Convert to fraction form
    221,001.75/470,839.50 = 470,839.50/x
  3. Step 3: Cross multiply
    221,001.75x = 470,839.50 × 470,839.50
  4. Step 4: Simplify right side
    221,001.75x = 221,689,834,760.25
  5. Step 5: Solve for x
    x = 221,689,834,760.25/221,001.75
  6. Step 6: Final answer
    x = 1,003,113.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.