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Finding the Third Proportional to 152,975 and 220,330

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Solution

The third proportional to 152,975 and 220,330 is: 317,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,975 : 220,330 = 220,330 : x
  2. Step 2: Convert to fraction form
    152,975/220,330 = 220,330/x
  3. Step 3: Cross multiply
    152,975x = 220,330 × 220,330
  4. Step 4: Simplify right side
    152,975x = 48,545,308,900
  5. Step 5: Solve for x
    x = 48,545,308,900/152,975
  6. Step 6: Final answer
    x = 317,341.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.