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Finding the Third Proportional to 191,364 and 419,208

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Solution

The third proportional to 191,364 and 419,208 is: 918,330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,364 : 419,208 = 419,208 : x
  2. Step 2: Convert to fraction form
    191,364/419,208 = 419,208/x
  3. Step 3: Cross multiply
    191,364x = 419,208 × 419,208
  4. Step 4: Simplify right side
    191,364x = 175,735,347,264
  5. Step 5: Solve for x
    x = 175,735,347,264/191,364
  6. Step 6: Final answer
    x = 918,330.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.