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Finding the Third Proportional to 516,108 and 781,944

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Solution

The third proportional to 516,108 and 781,944 is: 1,184,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,108 : 781,944 = 781,944 : x
  2. Step 2: Convert to fraction form
    516,108/781,944 = 781,944/x
  3. Step 3: Cross multiply
    516,108x = 781,944 × 781,944
  4. Step 4: Simplify right side
    516,108x = 611,436,419,136
  5. Step 5: Solve for x
    x = 611,436,419,136/516,108
  6. Step 6: Final answer
    x = 1,184,706.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.