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Finding the Third Proportional to 239,169.75 and 370,308

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Solution

The third proportional to 239,169.75 and 370,308 is: 573,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,169.75 : 370,308 = 370,308 : x
  2. Step 2: Convert to fraction form
    239,169.75/370,308 = 370,308/x
  3. Step 3: Cross multiply
    239,169.75x = 370,308 × 370,308
  4. Step 4: Simplify right side
    239,169.75x = 137,128,014,864
  5. Step 5: Solve for x
    x = 137,128,014,864/239,169.75
  6. Step 6: Final answer
    x = 573,350.16

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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.