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Finding the Third Proportional to 421,314.75 and 921,267

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Solution

The third proportional to 421,314.75 and 921,267 is: 2,014,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,314.75 : 921,267 = 921,267 : x
  2. Step 2: Convert to fraction form
    421,314.75/921,267 = 921,267/x
  3. Step 3: Cross multiply
    421,314.75x = 921,267 × 921,267
  4. Step 4: Simplify right side
    421,314.75x = 848,732,885,289
  5. Step 5: Solve for x
    x = 848,732,885,289/421,314.75
  6. Step 6: Final answer
    x = 2,014,486.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.