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Finding the Third Proportional to 312,496 and 676,832

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Solution

The third proportional to 312,496 and 676,832 is: 1,465,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,496 : 676,832 = 676,832 : x
  2. Step 2: Convert to fraction form
    312,496/676,832 = 676,832/x
  3. Step 3: Cross multiply
    312,496x = 676,832 × 676,832
  4. Step 4: Simplify right side
    312,496x = 458,101,556,224
  5. Step 5: Solve for x
    x = 458,101,556,224/312,496
  6. Step 6: Final answer
    x = 1,465,943.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.