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Finding the Third Proportional to 181,278 and 392,688

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Solution

The third proportional to 181,278 and 392,688 is: 850,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,278 : 392,688 = 392,688 : x
  2. Step 2: Convert to fraction form
    181,278/392,688 = 392,688/x
  3. Step 3: Cross multiply
    181,278x = 392,688 × 392,688
  4. Step 4: Simplify right side
    181,278x = 154,203,865,344
  5. Step 5: Solve for x
    x = 154,203,865,344/181,278
  6. Step 6: Final answer
    x = 850,648.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.