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Finding the Third Proportional to 145,571.63 and 231,480

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Solution

The third proportional to 145,571.63 and 231,480 is: 368,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,571.63 : 231,480 = 231,480 : x
  2. Step 2: Convert to fraction form
    145,571.63/231,480 = 231,480/x
  3. Step 3: Cross multiply
    145,571.63x = 231,480 × 231,480
  4. Step 4: Simplify right side
    145,571.63x = 53,582,990,400
  5. Step 5: Solve for x
    x = 53,582,990,400/145,571.63
  6. Step 6: Final answer
    x = 368,086.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.