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Finding the Third Proportional to 421,135 and 921,001

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Solution

The third proportional to 421,135 and 921,001 is: 2,014,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,135 : 921,001 = 921,001 : x
  2. Step 2: Convert to fraction form
    421,135/921,001 = 921,001/x
  3. Step 3: Cross multiply
    421,135x = 921,001 × 921,001
  4. Step 4: Simplify right side
    421,135x = 848,242,842,001
  5. Step 5: Solve for x
    x = 848,242,842,001/421,135
  6. Step 6: Final answer
    x = 2,014,182.73

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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.