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Finding the Third Proportional to 221,838 and 485,657

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Solution

The third proportional to 221,838 and 485,657 is: 1,063,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,838 : 485,657 = 485,657 : x
  2. Step 2: Convert to fraction form
    221,838/485,657 = 485,657/x
  3. Step 3: Cross multiply
    221,838x = 485,657 × 485,657
  4. Step 4: Simplify right side
    221,838x = 235,862,721,649
  5. Step 5: Solve for x
    x = 235,862,721,649/221,838
  6. Step 6: Final answer
    x = 1,063,220.56

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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.