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Finding the Third Proportional to 677,413.13 and 928,908

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Solution

The third proportional to 677,413.13 and 928,908 is: 1,273,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,413.13 : 928,908 = 928,908 : x
  2. Step 2: Convert to fraction form
    677,413.13/928,908 = 928,908/x
  3. Step 3: Cross multiply
    677,413.13x = 928,908 × 928,908
  4. Step 4: Simplify right side
    677,413.13x = 862,870,072,464
  5. Step 5: Solve for x
    x = 862,870,072,464/677,413.13
  6. Step 6: Final answer
    x = 1,273,772.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.