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Finding the Third Proportional to 361,120 and 561,786

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Solution

The third proportional to 361,120 and 561,786 is: 873,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,120 : 561,786 = 561,786 : x
  2. Step 2: Convert to fraction form
    361,120/561,786 = 561,786/x
  3. Step 3: Cross multiply
    361,120x = 561,786 × 561,786
  4. Step 4: Simplify right side
    361,120x = 315,603,509,796
  5. Step 5: Solve for x
    x = 315,603,509,796/361,120
  6. Step 6: Final answer
    x = 873,957.44

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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.