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Finding the Third Proportional to 361,050 and 561,311

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Solution

The third proportional to 361,050 and 561,311 is: 872,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,050 : 561,311 = 561,311 : x
  2. Step 2: Convert to fraction form
    361,050/561,311 = 561,311/x
  3. Step 3: Cross multiply
    361,050x = 561,311 × 561,311
  4. Step 4: Simplify right side
    361,050x = 315,070,038,721
  5. Step 5: Solve for x
    x = 315,070,038,721/361,050
  6. Step 6: Final answer
    x = 872,649.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.