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Finding the Third Proportional to 361,030 and 561,288

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Solution

The third proportional to 361,030 and 561,288 is: 872,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,030 : 561,288 = 561,288 : x
  2. Step 2: Convert to fraction form
    361,030/561,288 = 561,288/x
  3. Step 3: Cross multiply
    361,030x = 561,288 × 561,288
  4. Step 4: Simplify right side
    361,030x = 315,044,218,944
  5. Step 5: Solve for x
    x = 315,044,218,944/361,030
  6. Step 6: Final answer
    x = 872,626.15

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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.