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Finding the Third Proportional to 289,490 and 628,494

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Solution

The third proportional to 289,490 and 628,494 is: 1,364,484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,490 : 628,494 = 628,494 : x
  2. Step 2: Convert to fraction form
    289,490/628,494 = 628,494/x
  3. Step 3: Cross multiply
    289,490x = 628,494 × 628,494
  4. Step 4: Simplify right side
    289,490x = 395,004,708,036
  5. Step 5: Solve for x
    x = 395,004,708,036/289,490
  6. Step 6: Final answer
    x = 1,364,484.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.