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Finding the Third Proportional to 354,415.50 and 767,880

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Solution

The third proportional to 354,415.50 and 767,880 is: 1,663,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,415.50 : 767,880 = 767,880 : x
  2. Step 2: Convert to fraction form
    354,415.50/767,880 = 767,880/x
  3. Step 3: Cross multiply
    354,415.50x = 767,880 × 767,880
  4. Step 4: Simplify right side
    354,415.50x = 589,639,694,400
  5. Step 5: Solve for x
    x = 589,639,694,400/354,415.50
  6. Step 6: Final answer
    x = 1,663,696.13

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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.