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Finding the Third Proportional to 192,140 and 446,666

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Solution

The third proportional to 192,140 and 446,666 is: 1,038,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,140 : 446,666 = 446,666 : x
  2. Step 2: Convert to fraction form
    192,140/446,666 = 446,666/x
  3. Step 3: Cross multiply
    192,140x = 446,666 × 446,666
  4. Step 4: Simplify right side
    192,140x = 199,510,515,556
  5. Step 5: Solve for x
    x = 199,510,515,556/192,140
  6. Step 6: Final answer
    x = 1,038,360.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.