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Finding the Third Proportional to 145,392.50 and 218,816.75

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Solution

The third proportional to 145,392.50 and 218,816.75 is: 329,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,392.50 : 218,816.75 = 218,816.75 : x
  2. Step 2: Convert to fraction form
    145,392.50/218,816.75 = 218,816.75/x
  3. Step 3: Cross multiply
    145,392.50x = 218,816.75 × 218,816.75
  4. Step 4: Simplify right side
    145,392.50x = 47,880,770,080.56
  5. Step 5: Solve for x
    x = 47,880,770,080.56/145,392.50
  6. Step 6: Final answer
    x = 329,320.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.