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Finding the Third Proportional to 824,409 and 1,808,226

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Solution

The third proportional to 824,409 and 1,808,226 is: 3,966,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,409 : 1,808,226 = 1,808,226 : x
  2. Step 2: Convert to fraction form
    824,409/1,808,226 = 1,808,226/x
  3. Step 3: Cross multiply
    824,409x = 1,808,226 × 1,808,226
  4. Step 4: Simplify right side
    824,409x = 3,269,681,267,076
  5. Step 5: Solve for x
    x = 3,269,681,267,076/824,409
  6. Step 6: Final answer
    x = 3,966,091.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.