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Finding the Third Proportional to 338,758 and 498,787

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Solution

The third proportional to 338,758 and 498,787 is: 734,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,758 : 498,787 = 498,787 : x
  2. Step 2: Convert to fraction form
    338,758/498,787 = 498,787/x
  3. Step 3: Cross multiply
    338,758x = 498,787 × 498,787
  4. Step 4: Simplify right side
    338,758x = 248,788,471,369
  5. Step 5: Solve for x
    x = 248,788,471,369/338,758
  6. Step 6: Final answer
    x = 734,413.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.