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Finding the Third Proportional to 270,936 and 421,915.50

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Solution

The third proportional to 270,936 and 421,915.50 is: 657,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,936 : 421,915.50 = 421,915.50 : x
  2. Step 2: Convert to fraction form
    270,936/421,915.50 = 421,915.50/x
  3. Step 3: Cross multiply
    270,936x = 421,915.50 × 421,915.50
  4. Step 4: Simplify right side
    270,936x = 178,012,689,140.25
  5. Step 5: Solve for x
    x = 178,012,689,140.25/270,936
  6. Step 6: Final answer
    x = 657,028.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.