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Finding the Third Proportional to 305,148 and 443,871

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Solution

The third proportional to 305,148 and 443,871 is: 645,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,148 : 443,871 = 443,871 : x
  2. Step 2: Convert to fraction form
    305,148/443,871 = 443,871/x
  3. Step 3: Cross multiply
    305,148x = 443,871 × 443,871
  4. Step 4: Simplify right side
    305,148x = 197,021,464,641
  5. Step 5: Solve for x
    x = 197,021,464,641/305,148
  6. Step 6: Final answer
    x = 645,658.71

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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.