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Finding the Third Proportional to 305,910 and 448,497

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Solution

The third proportional to 305,910 and 448,497 is: 657,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,910 : 448,497 = 448,497 : x
  2. Step 2: Convert to fraction form
    305,910/448,497 = 448,497/x
  3. Step 3: Cross multiply
    305,910x = 448,497 × 448,497
  4. Step 4: Simplify right side
    305,910x = 201,149,559,009
  5. Step 5: Solve for x
    x = 201,149,559,009/305,910
  6. Step 6: Final answer
    x = 657,544.90

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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.