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Finding the Third Proportional to 195,328 and 421,760

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Solution

The third proportional to 195,328 and 421,760 is: 910,681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,328 : 421,760 = 421,760 : x
  2. Step 2: Convert to fraction form
    195,328/421,760 = 421,760/x
  3. Step 3: Cross multiply
    195,328x = 421,760 × 421,760
  4. Step 4: Simplify right side
    195,328x = 177,881,497,600
  5. Step 5: Solve for x
    x = 177,881,497,600/195,328
  6. Step 6: Final answer
    x = 910,681.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.