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Finding the Third Proportional to 309,294 and 678,366

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Solution

The third proportional to 309,294 and 678,366 is: 1,487,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,294 : 678,366 = 678,366 : x
  2. Step 2: Convert to fraction form
    309,294/678,366 = 678,366/x
  3. Step 3: Cross multiply
    309,294x = 678,366 × 678,366
  4. Step 4: Simplify right side
    309,294x = 460,180,429,956
  5. Step 5: Solve for x
    x = 460,180,429,956/309,294
  6. Step 6: Final answer
    x = 1,487,841.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.