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Finding the Third Proportional to 221,565 and 484,602

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Solution

The third proportional to 221,565 and 484,602 is: 1,059,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,565 : 484,602 = 484,602 : x
  2. Step 2: Convert to fraction form
    221,565/484,602 = 484,602/x
  3. Step 3: Cross multiply
    221,565x = 484,602 × 484,602
  4. Step 4: Simplify right side
    221,565x = 234,839,098,404
  5. Step 5: Solve for x
    x = 234,839,098,404/221,565
  6. Step 6: Final answer
    x = 1,059,910.63

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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.