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Finding the Third Proportional to 309,687 and 678,423

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Solution

The third proportional to 309,687 and 678,423 is: 1,486,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,687 : 678,423 = 678,423 : x
  2. Step 2: Convert to fraction form
    309,687/678,423 = 678,423/x
  3. Step 3: Cross multiply
    309,687x = 678,423 × 678,423
  4. Step 4: Simplify right side
    309,687x = 460,257,766,929
  5. Step 5: Solve for x
    x = 460,257,766,929/309,687
  6. Step 6: Final answer
    x = 1,486,203.06

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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.