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Finding the Third Proportional to 286,942 and 421,197

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Solution

The third proportional to 286,942 and 421,197 is: 618,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,942 : 421,197 = 421,197 : x
  2. Step 2: Convert to fraction form
    286,942/421,197 = 421,197/x
  3. Step 3: Cross multiply
    286,942x = 421,197 × 421,197
  4. Step 4: Simplify right side
    286,942x = 177,406,912,809
  5. Step 5: Solve for x
    x = 177,406,912,809/286,942
  6. Step 6: Final answer
    x = 618,267.50

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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.