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Finding the Third Proportional to 428,322 and 562,893

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Solution

The third proportional to 428,322 and 562,893 is: 739,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,322 : 562,893 = 562,893 : x
  2. Step 2: Convert to fraction form
    428,322/562,893 = 562,893/x
  3. Step 3: Cross multiply
    428,322x = 562,893 × 562,893
  4. Step 4: Simplify right side
    428,322x = 316,848,529,449
  5. Step 5: Solve for x
    x = 316,848,529,449/428,322
  6. Step 6: Final answer
    x = 739,743.77

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.