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Finding the Third Proportional to 178,946 and 389,860

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Solution

The third proportional to 178,946 and 389,860 is: 849,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,946 : 389,860 = 389,860 : x
  2. Step 2: Convert to fraction form
    178,946/389,860 = 389,860/x
  3. Step 3: Cross multiply
    178,946x = 389,860 × 389,860
  4. Step 4: Simplify right side
    178,946x = 151,990,819,600
  5. Step 5: Solve for x
    x = 151,990,819,600/178,946
  6. Step 6: Final answer
    x = 849,366.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.