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Finding the Third Proportional to 221,040 and 482,557

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Solution

The third proportional to 221,040 and 482,557 is: 1,053,480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,040 : 482,557 = 482,557 : x
  2. Step 2: Convert to fraction form
    221,040/482,557 = 482,557/x
  3. Step 3: Cross multiply
    221,040x = 482,557 × 482,557
  4. Step 4: Simplify right side
    221,040x = 232,861,258,249
  5. Step 5: Solve for x
    x = 232,861,258,249/221,040
  6. Step 6: Final answer
    x = 1,053,480.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.