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Finding the Third Proportional to 360,800 and 778,804

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Solution

The third proportional to 360,800 and 778,804 is: 1,681,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,800 : 778,804 = 778,804 : x
  2. Step 2: Convert to fraction form
    360,800/778,804 = 778,804/x
  3. Step 3: Cross multiply
    360,800x = 778,804 × 778,804
  4. Step 4: Simplify right side
    360,800x = 606,535,670,416
  5. Step 5: Solve for x
    x = 606,535,670,416/360,800
  6. Step 6: Final answer
    x = 1,681,085.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.