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Finding the Third Proportional to 519,178 and 1,115,918

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Solution

The third proportional to 519,178 and 1,115,918 is: 2,398,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,178 : 1,115,918 = 1,115,918 : x
  2. Step 2: Convert to fraction form
    519,178/1,115,918 = 1,115,918/x
  3. Step 3: Cross multiply
    519,178x = 1,115,918 × 1,115,918
  4. Step 4: Simplify right side
    519,178x = 1,245,272,982,724
  5. Step 5: Solve for x
    x = 1,245,272,982,724/519,178
  6. Step 6: Final answer
    x = 2,398,547.29

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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.