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Finding the Third Proportional to 402,339.66 and 879,413.20

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Solution

The third proportional to 402,339.66 and 879,413.20 is: 1,922,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,339.66 : 879,413.20 = 879,413.20 : x
  2. Step 2: Convert to fraction form
    402,339.66/879,413.20 = 879,413.20/x
  3. Step 3: Cross multiply
    402,339.66x = 879,413.20 × 879,413.20
  4. Step 4: Simplify right side
    402,339.66x = 773,367,581,830.57
  5. Step 5: Solve for x
    x = 773,367,581,830.57/402,339.66
  6. Step 6: Final answer
    x = 1,922,175.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.