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Finding the Third Proportional to 304,258 and 678,476

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Solution

The third proportional to 304,258 and 678,476 is: 1,512,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,258 : 678,476 = 678,476 : x
  2. Step 2: Convert to fraction form
    304,258/678,476 = 678,476/x
  3. Step 3: Cross multiply
    304,258x = 678,476 × 678,476
  4. Step 4: Simplify right side
    304,258x = 460,329,682,576
  5. Step 5: Solve for x
    x = 460,329,682,576/304,258
  6. Step 6: Final answer
    x = 1,512,958.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.