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Finding the Third Proportional to 571,809 and 1,243,218

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Solution

The third proportional to 571,809 and 1,243,218 is: 2,702,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,809 : 1,243,218 = 1,243,218 : x
  2. Step 2: Convert to fraction form
    571,809/1,243,218 = 1,243,218/x
  3. Step 3: Cross multiply
    571,809x = 1,243,218 × 1,243,218
  4. Step 4: Simplify right side
    571,809x = 1,545,590,995,524
  5. Step 5: Solve for x
    x = 1,545,590,995,524/571,809
  6. Step 6: Final answer
    x = 2,702,984.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.