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Finding the Third Proportional to 221,707 and 484,821

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Solution

The third proportional to 221,707 and 484,821 is: 1,060,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,707 : 484,821 = 484,821 : x
  2. Step 2: Convert to fraction form
    221,707/484,821 = 484,821/x
  3. Step 3: Cross multiply
    221,707x = 484,821 × 484,821
  4. Step 4: Simplify right side
    221,707x = 235,051,402,041
  5. Step 5: Solve for x
    x = 235,051,402,041/221,707
  6. Step 6: Final answer
    x = 1,060,189.36

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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.