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Finding the Third Proportional to 301,700 and 447,326

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Solution

The third proportional to 301,700 and 447,326 is: 663,243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,700 : 447,326 = 447,326 : x
  2. Step 2: Convert to fraction form
    301,700/447,326 = 447,326/x
  3. Step 3: Cross multiply
    301,700x = 447,326 × 447,326
  4. Step 4: Simplify right side
    301,700x = 200,100,550,276
  5. Step 5: Solve for x
    x = 200,100,550,276/301,700
  6. Step 6: Final answer
    x = 663,243.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.