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Finding the Third Proportional to 421,929 and 563,625

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Solution

The third proportional to 421,929 and 563,625 is: 752,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,929 : 563,625 = 563,625 : x
  2. Step 2: Convert to fraction form
    421,929/563,625 = 563,625/x
  3. Step 3: Cross multiply
    421,929x = 563,625 × 563,625
  4. Step 4: Simplify right side
    421,929x = 317,673,140,625
  5. Step 5: Solve for x
    x = 317,673,140,625/421,929
  6. Step 6: Final answer
    x = 752,906.63

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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.