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Finding the Third Proportional to 379,890 and 812,484

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Solution

The third proportional to 379,890 and 812,484 is: 1,737,687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,890 : 812,484 = 812,484 : x
  2. Step 2: Convert to fraction form
    379,890/812,484 = 812,484/x
  3. Step 3: Cross multiply
    379,890x = 812,484 × 812,484
  4. Step 4: Simplify right side
    379,890x = 660,130,250,256
  5. Step 5: Solve for x
    x = 660,130,250,256/379,890
  6. Step 6: Final answer
    x = 1,737,687.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.