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Finding the Third Proportional to 312,894.77 and 670,059.21

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Solution

The third proportional to 312,894.77 and 670,059.21 is: 1,434,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,894.77 : 670,059.21 = 670,059.21 : x
  2. Step 2: Convert to fraction form
    312,894.77/670,059.21 = 670,059.21/x
  3. Step 3: Cross multiply
    312,894.77x = 670,059.21 × 670,059.21
  4. Step 4: Simplify right side
    312,894.77x = 448,979,346,162.19
  5. Step 5: Solve for x
    x = 448,979,346,162.19/312,894.77
  6. Step 6: Final answer
    x = 1,434,921.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.