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Finding the Third Proportional to 444,974 and 921,490

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Solution

The third proportional to 444,974 and 921,490 is: 1,908,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,974 : 921,490 = 921,490 : x
  2. Step 2: Convert to fraction form
    444,974/921,490 = 921,490/x
  3. Step 3: Cross multiply
    444,974x = 921,490 × 921,490
  4. Step 4: Simplify right side
    444,974x = 849,143,820,100
  5. Step 5: Solve for x
    x = 849,143,820,100/444,974
  6. Step 6: Final answer
    x = 1,908,299.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.