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Finding the Third Proportional to 195,108 and 421,560

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Solution

The third proportional to 195,108 and 421,560 is: 910,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,108 : 421,560 = 421,560 : x
  2. Step 2: Convert to fraction form
    195,108/421,560 = 421,560/x
  3. Step 3: Cross multiply
    195,108x = 421,560 × 421,560
  4. Step 4: Simplify right side
    195,108x = 177,712,833,600
  5. Step 5: Solve for x
    x = 177,712,833,600/195,108
  6. Step 6: Final answer
    x = 910,843.40

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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.