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Finding the Third Proportional to 191,360 and 420,736

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Solution

The third proportional to 191,360 and 420,736 is: 925,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,360 : 420,736 = 420,736 : x
  2. Step 2: Convert to fraction form
    191,360/420,736 = 420,736/x
  3. Step 3: Cross multiply
    191,360x = 420,736 × 420,736
  4. Step 4: Simplify right side
    191,360x = 177,018,781,696
  5. Step 5: Solve for x
    x = 177,018,781,696/191,360
  6. Step 6: Final answer
    x = 925,056.34

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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.