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Finding the Third Proportional to 426,559 and 921,522

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Solution

The third proportional to 426,559 and 921,522 is: 1,990,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,559 : 921,522 = 921,522 : x
  2. Step 2: Convert to fraction form
    426,559/921,522 = 921,522/x
  3. Step 3: Cross multiply
    426,559x = 921,522 × 921,522
  4. Step 4: Simplify right side
    426,559x = 849,202,796,484
  5. Step 5: Solve for x
    x = 849,202,796,484/426,559
  6. Step 6: Final answer
    x = 1,990,821.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.