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Finding the Third Proportional to 236,610 and 355,120

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Solution

The third proportional to 236,610 and 355,120 is: 532,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,610 : 355,120 = 355,120 : x
  2. Step 2: Convert to fraction form
    236,610/355,120 = 355,120/x
  3. Step 3: Cross multiply
    236,610x = 355,120 × 355,120
  4. Step 4: Simplify right side
    236,610x = 126,110,214,400
  5. Step 5: Solve for x
    x = 126,110,214,400/236,610
  6. Step 6: Final answer
    x = 532,987.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.