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Finding the Third Proportional to 221,964 and 485,445

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Solution

The third proportional to 221,964 and 485,445 is: 1,061,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,964 : 485,445 = 485,445 : x
  2. Step 2: Convert to fraction form
    221,964/485,445 = 485,445/x
  3. Step 3: Cross multiply
    221,964x = 485,445 × 485,445
  4. Step 4: Simplify right side
    221,964x = 235,656,848,025
  5. Step 5: Solve for x
    x = 235,656,848,025/221,964
  6. Step 6: Final answer
    x = 1,061,689.50

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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.