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Finding the Third Proportional to 515,421 and 1,109,491

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Solution

The third proportional to 515,421 and 1,109,491 is: 2,388,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,421 : 1,109,491 = 1,109,491 : x
  2. Step 2: Convert to fraction form
    515,421/1,109,491 = 1,109,491/x
  3. Step 3: Cross multiply
    515,421x = 1,109,491 × 1,109,491
  4. Step 4: Simplify right side
    515,421x = 1,230,970,279,081
  5. Step 5: Solve for x
    x = 1,230,970,279,081/515,421
  6. Step 6: Final answer
    x = 2,388,281.19

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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.