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Finding the Third Proportional to 154,604 and 220,494

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Solution

The third proportional to 154,604 and 220,494 is: 314,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,604 : 220,494 = 220,494 : x
  2. Step 2: Convert to fraction form
    154,604/220,494 = 220,494/x
  3. Step 3: Cross multiply
    154,604x = 220,494 × 220,494
  4. Step 4: Simplify right side
    154,604x = 48,617,604,036
  5. Step 5: Solve for x
    x = 48,617,604,036/154,604
  6. Step 6: Final answer
    x = 314,465.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.