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Finding the Third Proportional to 407,907 and 897,369

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Solution

The third proportional to 407,907 and 897,369 is: 1,974,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,907 : 897,369 = 897,369 : x
  2. Step 2: Convert to fraction form
    407,907/897,369 = 897,369/x
  3. Step 3: Cross multiply
    407,907x = 897,369 × 897,369
  4. Step 4: Simplify right side
    407,907x = 805,271,122,161
  5. Step 5: Solve for x
    x = 805,271,122,161/407,907
  6. Step 6: Final answer
    x = 1,974,153.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.