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Finding the Third Proportional to 489,636 and 748,944

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Solution

The third proportional to 489,636 and 748,944 is: 1,145,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,636 : 748,944 = 748,944 : x
  2. Step 2: Convert to fraction form
    489,636/748,944 = 748,944/x
  3. Step 3: Cross multiply
    489,636x = 748,944 × 748,944
  4. Step 4: Simplify right side
    489,636x = 560,917,115,136
  5. Step 5: Solve for x
    x = 560,917,115,136/489,636
  6. Step 6: Final answer
    x = 1,145,579.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.