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Finding the Third Proportional to 308,817 and 449,152.50

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Solution

The third proportional to 308,817 and 449,152.50 is: 653,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,817 : 449,152.50 = 449,152.50 : x
  2. Step 2: Convert to fraction form
    308,817/449,152.50 = 449,152.50/x
  3. Step 3: Cross multiply
    308,817x = 449,152.50 × 449,152.50
  4. Step 4: Simplify right side
    308,817x = 201,737,968,256.25
  5. Step 5: Solve for x
    x = 201,737,968,256.25/308,817
  6. Step 6: Final answer
    x = 653,260.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.