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Finding the Third Proportional to 315,606 and 679,332

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Solution

The third proportional to 315,606 and 679,332 is: 1,462,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,606 : 679,332 = 679,332 : x
  2. Step 2: Convert to fraction form
    315,606/679,332 = 679,332/x
  3. Step 3: Cross multiply
    315,606x = 679,332 × 679,332
  4. Step 4: Simplify right side
    315,606x = 461,491,966,224
  5. Step 5: Solve for x
    x = 461,491,966,224/315,606
  6. Step 6: Final answer
    x = 1,462,240.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.