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Finding the Third Proportional to 258,066 and 539,784

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Solution

The third proportional to 258,066 and 539,784 is: 1,129,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,066 : 539,784 = 539,784 : x
  2. Step 2: Convert to fraction form
    258,066/539,784 = 539,784/x
  3. Step 3: Cross multiply
    258,066x = 539,784 × 539,784
  4. Step 4: Simplify right side
    258,066x = 291,366,766,656
  5. Step 5: Solve for x
    x = 291,366,766,656/258,066
  6. Step 6: Final answer
    x = 1,129,039.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.