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Finding the Third Proportional to 221,715 and 487,737

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Solution

The third proportional to 221,715 and 487,737 is: 1,072,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,715 : 487,737 = 487,737 : x
  2. Step 2: Convert to fraction form
    221,715/487,737 = 487,737/x
  3. Step 3: Cross multiply
    221,715x = 487,737 × 487,737
  4. Step 4: Simplify right side
    221,715x = 237,887,381,169
  5. Step 5: Solve for x
    x = 237,887,381,169/221,715
  6. Step 6: Final answer
    x = 1,072,942.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.