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Finding the Third Proportional to 193,700 and 421,708

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Solution

The third proportional to 193,700 and 421,708 is: 918,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,700 : 421,708 = 421,708 : x
  2. Step 2: Convert to fraction form
    193,700/421,708 = 421,708/x
  3. Step 3: Cross multiply
    193,700x = 421,708 × 421,708
  4. Step 4: Simplify right side
    193,700x = 177,837,637,264
  5. Step 5: Solve for x
    x = 177,837,637,264/193,700
  6. Step 6: Final answer
    x = 918,108.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.