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Finding the Third Proportional to 361,003 and 561,246

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Solution

The third proportional to 361,003 and 561,246 is: 872,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,003 : 561,246 = 561,246 : x
  2. Step 2: Convert to fraction form
    361,003/561,246 = 561,246/x
  3. Step 3: Cross multiply
    361,003x = 561,246 × 561,246
  4. Step 4: Simplify right side
    361,003x = 314,997,072,516
  5. Step 5: Solve for x
    x = 314,997,072,516/361,003
  6. Step 6: Final answer
    x = 872,560.82

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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.