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Finding the Third Proportional to 368,116.50 and 778,668

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Solution

The third proportional to 368,116.50 and 778,668 is: 1,647,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,116.50 : 778,668 = 778,668 : x
  2. Step 2: Convert to fraction form
    368,116.50/778,668 = 778,668/x
  3. Step 3: Cross multiply
    368,116.50x = 778,668 × 778,668
  4. Step 4: Simplify right side
    368,116.50x = 606,323,854,224
  5. Step 5: Solve for x
    x = 606,323,854,224/368,116.50
  6. Step 6: Final answer
    x = 1,647,097.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.