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Finding the Third Proportional to 412,820 and 909,444

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Solution

The third proportional to 412,820 and 909,444 is: 2,003,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,820 : 909,444 = 909,444 : x
  2. Step 2: Convert to fraction form
    412,820/909,444 = 909,444/x
  3. Step 3: Cross multiply
    412,820x = 909,444 × 909,444
  4. Step 4: Simplify right side
    412,820x = 827,088,389,136
  5. Step 5: Solve for x
    x = 827,088,389,136/412,820
  6. Step 6: Final answer
    x = 2,003,508.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.