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Finding the Third Proportional to 361,023.75 and 561,276

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Solution

The third proportional to 361,023.75 and 561,276 is: 872,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,023.75 : 561,276 = 561,276 : x
  2. Step 2: Convert to fraction form
    361,023.75/561,276 = 561,276/x
  3. Step 3: Cross multiply
    361,023.75x = 561,276 × 561,276
  4. Step 4: Simplify right side
    361,023.75x = 315,030,748,176
  5. Step 5: Solve for x
    x = 315,030,748,176/361,023.75
  6. Step 6: Final answer
    x = 872,603.94

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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.