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Finding the Third Proportional to 256,987.69 and 565,218

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Solution

The third proportional to 256,987.69 and 565,218 is: 1,243,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,987.69 : 565,218 = 565,218 : x
  2. Step 2: Convert to fraction form
    256,987.69/565,218 = 565,218/x
  3. Step 3: Cross multiply
    256,987.69x = 565,218 × 565,218
  4. Step 4: Simplify right side
    256,987.69x = 319,471,387,524
  5. Step 5: Solve for x
    x = 319,471,387,524/256,987.69
  6. Step 6: Final answer
    x = 1,243,138.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.