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Finding the Third Proportional to 212,908 and 303,657

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Solution

The third proportional to 212,908 and 303,657 is: 433,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,908 : 303,657 = 303,657 : x
  2. Step 2: Convert to fraction form
    212,908/303,657 = 303,657/x
  3. Step 3: Cross multiply
    212,908x = 303,657 × 303,657
  4. Step 4: Simplify right side
    212,908x = 92,207,573,649
  5. Step 5: Solve for x
    x = 92,207,573,649/212,908
  6. Step 6: Final answer
    x = 433,086.47

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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.