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Finding the Third Proportional to 903,858 and 1,239,387

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Solution

The third proportional to 903,858 and 1,239,387 is: 1,699,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,858 : 1,239,387 = 1,239,387 : x
  2. Step 2: Convert to fraction form
    903,858/1,239,387 = 1,239,387/x
  3. Step 3: Cross multiply
    903,858x = 1,239,387 × 1,239,387
  4. Step 4: Simplify right side
    903,858x = 1,536,080,135,769
  5. Step 5: Solve for x
    x = 1,536,080,135,769/903,858
  6. Step 6: Final answer
    x = 1,699,470.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.