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Finding the Third Proportional to 192,004 and 448,565

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Solution

The third proportional to 192,004 and 448,565 is: 1,047,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,004 : 448,565 = 448,565 : x
  2. Step 2: Convert to fraction form
    192,004/448,565 = 448,565/x
  3. Step 3: Cross multiply
    192,004x = 448,565 × 448,565
  4. Step 4: Simplify right side
    192,004x = 201,210,559,225
  5. Step 5: Solve for x
    x = 201,210,559,225/192,004
  6. Step 6: Final answer
    x = 1,047,949.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.