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Finding the Third Proportional to 289,484 and 628,482

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Solution

The third proportional to 289,484 and 628,482 is: 1,364,460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,484 : 628,482 = 628,482 : x
  2. Step 2: Convert to fraction form
    289,484/628,482 = 628,482/x
  3. Step 3: Cross multiply
    289,484x = 628,482 × 628,482
  4. Step 4: Simplify right side
    289,484x = 394,989,624,324
  5. Step 5: Solve for x
    x = 394,989,624,324/289,484
  6. Step 6: Final answer
    x = 1,364,460.99

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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.