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Finding the Third Proportional to 228,686 and 534,455

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Solution

The third proportional to 228,686 and 534,455 is: 1,249,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,686 : 534,455 = 534,455 : x
  2. Step 2: Convert to fraction form
    228,686/534,455 = 534,455/x
  3. Step 3: Cross multiply
    228,686x = 534,455 × 534,455
  4. Step 4: Simplify right side
    228,686x = 285,642,147,025
  5. Step 5: Solve for x
    x = 285,642,147,025/228,686
  6. Step 6: Final answer
    x = 1,249,058.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.