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Finding the Third Proportional to 421,349 and 921,525

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Solution

The third proportional to 421,349 and 921,525 is: 2,015,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,349 : 921,525 = 921,525 : x
  2. Step 2: Convert to fraction form
    421,349/921,525 = 921,525/x
  3. Step 3: Cross multiply
    421,349x = 921,525 × 921,525
  4. Step 4: Simplify right side
    421,349x = 849,208,325,625
  5. Step 5: Solve for x
    x = 849,208,325,625/421,349
  6. Step 6: Final answer
    x = 2,015,451.15

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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.