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Finding the Third Proportional to 308,808 and 449,139

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Solution

The third proportional to 308,808 and 449,139 is: 653,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,808 : 449,139 = 449,139 : x
  2. Step 2: Convert to fraction form
    308,808/449,139 = 449,139/x
  3. Step 3: Cross multiply
    308,808x = 449,139 × 449,139
  4. Step 4: Simplify right side
    308,808x = 201,725,841,321
  5. Step 5: Solve for x
    x = 201,725,841,321/308,808
  6. Step 6: Final answer
    x = 653,240.33

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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.