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Finding the Third Proportional to 242,696 and 379,890

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Solution

The third proportional to 242,696 and 379,890 is: 594,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,696 : 379,890 = 379,890 : x
  2. Step 2: Convert to fraction form
    242,696/379,890 = 379,890/x
  3. Step 3: Cross multiply
    242,696x = 379,890 × 379,890
  4. Step 4: Simplify right side
    242,696x = 144,316,412,100
  5. Step 5: Solve for x
    x = 144,316,412,100/242,696
  6. Step 6: Final answer
    x = 594,638.61

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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.