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Finding the Third Proportional to 221,072 and 473,689

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Solution

The third proportional to 221,072 and 473,689 is: 1,014,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,072 : 473,689 = 473,689 : x
  2. Step 2: Convert to fraction form
    221,072/473,689 = 473,689/x
  3. Step 3: Cross multiply
    221,072x = 473,689 × 473,689
  4. Step 4: Simplify right side
    221,072x = 224,381,268,721
  5. Step 5: Solve for x
    x = 224,381,268,721/221,072
  6. Step 6: Final answer
    x = 1,014,969.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.