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Finding the Third Proportional to 221,557 and 534,159

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Solution

The third proportional to 221,557 and 534,159 is: 1,287,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,557 : 534,159 = 534,159 : x
  2. Step 2: Convert to fraction form
    221,557/534,159 = 534,159/x
  3. Step 3: Cross multiply
    221,557x = 534,159 × 534,159
  4. Step 4: Simplify right side
    221,557x = 285,325,837,281
  5. Step 5: Solve for x
    x = 285,325,837,281/221,557
  6. Step 6: Final answer
    x = 1,287,821.36

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.