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Finding the Third Proportional to 221,534 and 520,097

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Solution

The third proportional to 221,534 and 520,097 is: 1,221,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,534 : 520,097 = 520,097 : x
  2. Step 2: Convert to fraction form
    221,534/520,097 = 520,097/x
  3. Step 3: Cross multiply
    221,534x = 520,097 × 520,097
  4. Step 4: Simplify right side
    221,534x = 270,500,889,409
  5. Step 5: Solve for x
    x = 270,500,889,409/221,534
  6. Step 6: Final answer
    x = 1,221,035.55

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.