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Finding the Third Proportional to 305,912 and 448,500

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Solution

The third proportional to 305,912 and 448,500 is: 657,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,912 : 448,500 = 448,500 : x
  2. Step 2: Convert to fraction form
    305,912/448,500 = 448,500/x
  3. Step 3: Cross multiply
    305,912x = 448,500 × 448,500
  4. Step 4: Simplify right side
    305,912x = 201,152,250,000
  5. Step 5: Solve for x
    x = 201,152,250,000/305,912
  6. Step 6: Final answer
    x = 657,549.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.