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Finding the Third Proportional to 421,756 and 909,944

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Solution

The third proportional to 421,756 and 909,944 is: 1,963,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,756 : 909,944 = 909,944 : x
  2. Step 2: Convert to fraction form
    421,756/909,944 = 909,944/x
  3. Step 3: Cross multiply
    421,756x = 909,944 × 909,944
  4. Step 4: Simplify right side
    421,756x = 827,998,083,136
  5. Step 5: Solve for x
    x = 827,998,083,136/421,756
  6. Step 6: Final answer
    x = 1,963,215.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.