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Finding the Third Proportional to 421,935 and 563,634

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Solution

The third proportional to 421,935 and 563,634 is: 752,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,935 : 563,634 = 563,634 : x
  2. Step 2: Convert to fraction form
    421,935/563,634 = 563,634/x
  3. Step 3: Cross multiply
    421,935x = 563,634 × 563,634
  4. Step 4: Simplify right side
    421,935x = 317,683,285,956
  5. Step 5: Solve for x
    x = 317,683,285,956/421,935
  6. Step 6: Final answer
    x = 752,919.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.