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Finding the Third Proportional to 215,413.69 and 301,862.81

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Solution

The third proportional to 215,413.69 and 301,862.81 is: 423,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,413.69 : 301,862.81 = 301,862.81 : x
  2. Step 2: Convert to fraction form
    215,413.69/301,862.81 = 301,862.81/x
  3. Step 3: Cross multiply
    215,413.69x = 301,862.81 × 301,862.81
  4. Step 4: Simplify right side
    215,413.69x = 91,121,157,570.41
  5. Step 5: Solve for x
    x = 91,121,157,570.41/215,413.69
  6. Step 6: Final answer
    x = 423,005.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.