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Finding the Third Proportional to 278,966 and 358,185

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Solution

The third proportional to 278,966 and 358,185 is: 459,900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,966 : 358,185 = 358,185 : x
  2. Step 2: Convert to fraction form
    278,966/358,185 = 358,185/x
  3. Step 3: Cross multiply
    278,966x = 358,185 × 358,185
  4. Step 4: Simplify right side
    278,966x = 128,296,494,225
  5. Step 5: Solve for x
    x = 128,296,494,225/278,966
  6. Step 6: Final answer
    x = 459,900.11

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.