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Finding the Third Proportional to 502,912 and 1,090,975

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Solution

The third proportional to 502,912 and 1,090,975 is: 2,366,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,912 : 1,090,975 = 1,090,975 : x
  2. Step 2: Convert to fraction form
    502,912/1,090,975 = 1,090,975/x
  3. Step 3: Cross multiply
    502,912x = 1,090,975 × 1,090,975
  4. Step 4: Simplify right side
    502,912x = 1,190,226,450,625
  5. Step 5: Solve for x
    x = 1,190,226,450,625/502,912
  6. Step 6: Final answer
    x = 2,366,669.42

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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.