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Finding the Third Proportional to 571,409 and 1,228,813

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Solution

The third proportional to 571,409 and 1,228,813 is: 2,642,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,409 : 1,228,813 = 1,228,813 : x
  2. Step 2: Convert to fraction form
    571,409/1,228,813 = 1,228,813/x
  3. Step 3: Cross multiply
    571,409x = 1,228,813 × 1,228,813
  4. Step 4: Simplify right side
    571,409x = 1,509,981,388,969
  5. Step 5: Solve for x
    x = 1,509,981,388,969/571,409
  6. Step 6: Final answer
    x = 2,642,557.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.