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Finding the Third Proportional to 105,420 and 226,959

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Solution

The third proportional to 105,420 and 226,959 is: 488,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,420 : 226,959 = 226,959 : x
  2. Step 2: Convert to fraction form
    105,420/226,959 = 226,959/x
  3. Step 3: Cross multiply
    105,420x = 226,959 × 226,959
  4. Step 4: Simplify right side
    105,420x = 51,510,387,681
  5. Step 5: Solve for x
    x = 51,510,387,681/105,420
  6. Step 6: Final answer
    x = 488,620.64

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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.