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Finding the Third Proportional to 361,032 and 561,291

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Solution

The third proportional to 361,032 and 561,291 is: 872,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,032 : 561,291 = 561,291 : x
  2. Step 2: Convert to fraction form
    361,032/561,291 = 561,291/x
  3. Step 3: Cross multiply
    361,032x = 561,291 × 561,291
  4. Step 4: Simplify right side
    361,032x = 315,047,586,681
  5. Step 5: Solve for x
    x = 315,047,586,681/361,032
  6. Step 6: Final answer
    x = 872,630.64

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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.