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Finding the Third Proportional to 272,424 and 409,008

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Solution

The third proportional to 272,424 and 409,008 is: 614,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,424 : 409,008 = 409,008 : x
  2. Step 2: Convert to fraction form
    272,424/409,008 = 409,008/x
  3. Step 3: Cross multiply
    272,424x = 409,008 × 409,008
  4. Step 4: Simplify right side
    272,424x = 167,287,544,064
  5. Step 5: Solve for x
    x = 167,287,544,064/272,424
  6. Step 6: Final answer
    x = 614,070.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.