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Finding the Third Proportional to 192,242 and 420,688

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Solution

The third proportional to 192,242 and 420,688 is: 920,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,242 : 420,688 = 420,688 : x
  2. Step 2: Convert to fraction form
    192,242/420,688 = 420,688/x
  3. Step 3: Cross multiply
    192,242x = 420,688 × 420,688
  4. Step 4: Simplify right side
    192,242x = 176,978,393,344
  5. Step 5: Solve for x
    x = 176,978,393,344/192,242
  6. Step 6: Final answer
    x = 920,602.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.