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Finding the Third Proportional to 272,919 and 413,619

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Solution

The third proportional to 272,919 and 413,619 is: 626,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,919 : 413,619 = 413,619 : x
  2. Step 2: Convert to fraction form
    272,919/413,619 = 413,619/x
  3. Step 3: Cross multiply
    272,919x = 413,619 × 413,619
  4. Step 4: Simplify right side
    272,919x = 171,080,677,161
  5. Step 5: Solve for x
    x = 171,080,677,161/272,919
  6. Step 6: Final answer
    x = 626,855.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.