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Finding the Third Proportional to 146,802.38 and 317,661.75

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Solution

The third proportional to 146,802.38 and 317,661.75 is: 687,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,802.38 : 317,661.75 = 317,661.75 : x
  2. Step 2: Convert to fraction form
    146,802.38/317,661.75 = 317,661.75/x
  3. Step 3: Cross multiply
    146,802.38x = 317,661.75 × 317,661.75
  4. Step 4: Simplify right side
    146,802.38x = 100,908,987,413.06
  5. Step 5: Solve for x
    x = 100,908,987,413.06/146,802.38
  6. Step 6: Final answer
    x = 687,379.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.