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Finding the Third Proportional to 818,424 and 1,240,272

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Solution

The third proportional to 818,424 and 1,240,272 is: 1,879,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,424 : 1,240,272 = 1,240,272 : x
  2. Step 2: Convert to fraction form
    818,424/1,240,272 = 1,240,272/x
  3. Step 3: Cross multiply
    818,424x = 1,240,272 × 1,240,272
  4. Step 4: Simplify right side
    818,424x = 1,538,274,633,984
  5. Step 5: Solve for x
    x = 1,538,274,633,984/818,424
  6. Step 6: Final answer
    x = 1,879,557.09

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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.