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Finding the Third Proportional to 421,347 and 921,522

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Solution

The third proportional to 421,347 and 921,522 is: 2,015,447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,347 : 921,522 = 921,522 : x
  2. Step 2: Convert to fraction form
    421,347/921,522 = 921,522/x
  3. Step 3: Cross multiply
    421,347x = 921,522 × 921,522
  4. Step 4: Simplify right side
    421,347x = 849,202,796,484
  5. Step 5: Solve for x
    x = 849,202,796,484/421,347
  6. Step 6: Final answer
    x = 2,015,447.59

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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.