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Finding the Third Proportional to 154,610 and 220,503

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Solution

The third proportional to 154,610 and 220,503 is: 314,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,610 : 220,503 = 220,503 : x
  2. Step 2: Convert to fraction form
    154,610/220,503 = 220,503/x
  3. Step 3: Cross multiply
    154,610x = 220,503 × 220,503
  4. Step 4: Simplify right side
    154,610x = 48,621,573,009
  5. Step 5: Solve for x
    x = 48,621,573,009/154,610
  6. Step 6: Final answer
    x = 314,478.84

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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.