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Finding the Third Proportional to 361,122 and 561,789

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Solution

The third proportional to 361,122 and 561,789 is: 873,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,122 : 561,789 = 561,789 : x
  2. Step 2: Convert to fraction form
    361,122/561,789 = 561,789/x
  3. Step 3: Cross multiply
    361,122x = 561,789 × 561,789
  4. Step 4: Simplify right side
    361,122x = 315,606,880,521
  5. Step 5: Solve for x
    x = 315,606,880,521/361,122
  6. Step 6: Final answer
    x = 873,961.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.