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Finding the Third Proportional to 221,705 and 484,817

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Solution

The third proportional to 221,705 and 484,817 is: 1,060,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,705 : 484,817 = 484,817 : x
  2. Step 2: Convert to fraction form
    221,705/484,817 = 484,817/x
  3. Step 3: Cross multiply
    221,705x = 484,817 × 484,817
  4. Step 4: Simplify right side
    221,705x = 235,047,523,489
  5. Step 5: Solve for x
    x = 235,047,523,489/221,705
  6. Step 6: Final answer
    x = 1,060,181.43

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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.