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Finding the Third Proportional to 388,274 and 609,199

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Solution

The third proportional to 388,274 and 609,199 is: 955,828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,274 : 609,199 = 609,199 : x
  2. Step 2: Convert to fraction form
    388,274/609,199 = 609,199/x
  3. Step 3: Cross multiply
    388,274x = 609,199 × 609,199
  4. Step 4: Simplify right side
    388,274x = 371,123,421,601
  5. Step 5: Solve for x
    x = 371,123,421,601/388,274
  6. Step 6: Final answer
    x = 955,828.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.