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Finding the Third Proportional to 191,820 and 421,708

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Solution

The third proportional to 191,820 and 421,708 is: 927,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,820 : 421,708 = 421,708 : x
  2. Step 2: Convert to fraction form
    191,820/421,708 = 421,708/x
  3. Step 3: Cross multiply
    191,820x = 421,708 × 421,708
  4. Step 4: Simplify right side
    191,820x = 177,837,637,264
  5. Step 5: Solve for x
    x = 177,837,637,264/191,820
  6. Step 6: Final answer
    x = 927,106.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.