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Finding the Third Proportional to 213,050.25 and 317,661.75

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Solution

The third proportional to 213,050.25 and 317,661.75 is: 473,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,050.25 : 317,661.75 = 317,661.75 : x
  2. Step 2: Convert to fraction form
    213,050.25/317,661.75 = 317,661.75/x
  3. Step 3: Cross multiply
    213,050.25x = 317,661.75 × 317,661.75
  4. Step 4: Simplify right side
    213,050.25x = 100,908,987,413.06
  5. Step 5: Solve for x
    x = 100,908,987,413.06/213,050.25
  6. Step 6: Final answer
    x = 473,639.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.