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Finding the Third Proportional to 201,915.75 and 312,608.25

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Solution

The third proportional to 201,915.75 and 312,608.25 is: 483,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,915.75 : 312,608.25 = 312,608.25 : x
  2. Step 2: Convert to fraction form
    201,915.75/312,608.25 = 312,608.25/x
  3. Step 3: Cross multiply
    201,915.75x = 312,608.25 × 312,608.25
  4. Step 4: Simplify right side
    201,915.75x = 97,723,917,968.06
  5. Step 5: Solve for x
    x = 97,723,917,968.06/201,915.75
  6. Step 6: Final answer
    x = 483,983.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.