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Finding the Third Proportional to 289,778 and 426,285

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Solution

The third proportional to 289,778 and 426,285 is: 627,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,778 : 426,285 = 426,285 : x
  2. Step 2: Convert to fraction form
    289,778/426,285 = 426,285/x
  3. Step 3: Cross multiply
    289,778x = 426,285 × 426,285
  4. Step 4: Simplify right side
    289,778x = 181,718,901,225
  5. Step 5: Solve for x
    x = 181,718,901,225/289,778
  6. Step 6: Final answer
    x = 627,096.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.