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Finding the Third Proportional to 221,900.77 and 485,320.36

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Solution

The third proportional to 221,900.77 and 485,320.36 is: 1,061,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,900.77 : 485,320.36 = 485,320.36 : x
  2. Step 2: Convert to fraction form
    221,900.77/485,320.36 = 485,320.36/x
  3. Step 3: Cross multiply
    221,900.77x = 485,320.36 × 485,320.36
  4. Step 4: Simplify right side
    221,900.77x = 235,535,851,223.88
  5. Step 5: Solve for x
    x = 235,535,851,223.88/221,900.77
  6. Step 6: Final answer
    x = 1,061,446.77

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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.