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Finding the Third Proportional to 286,940 and 421,194

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Solution

The third proportional to 286,940 and 421,194 is: 618,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,940 : 421,194 = 421,194 : x
  2. Step 2: Convert to fraction form
    286,940/421,194 = 421,194/x
  3. Step 3: Cross multiply
    286,940x = 421,194 × 421,194
  4. Step 4: Simplify right side
    286,940x = 177,404,385,636
  5. Step 5: Solve for x
    x = 177,404,385,636/286,940
  6. Step 6: Final answer
    x = 618,263.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.