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Finding the Third Proportional to 103,557 and 221,861

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Solution

The third proportional to 103,557 and 221,861 is: 475,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,557 : 221,861 = 221,861 : x
  2. Step 2: Convert to fraction form
    103,557/221,861 = 221,861/x
  3. Step 3: Cross multiply
    103,557x = 221,861 × 221,861
  4. Step 4: Simplify right side
    103,557x = 49,222,303,321
  5. Step 5: Solve for x
    x = 49,222,303,321/103,557
  6. Step 6: Final answer
    x = 475,316.04

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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.