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Finding the Third Proportional to 178,683 and 372,069

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Solution

The third proportional to 178,683 and 372,069 is: 774,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,683 : 372,069 = 372,069 : x
  2. Step 2: Convert to fraction form
    178,683/372,069 = 372,069/x
  3. Step 3: Cross multiply
    178,683x = 372,069 × 372,069
  4. Step 4: Simplify right side
    178,683x = 138,435,340,761
  5. Step 5: Solve for x
    x = 138,435,340,761/178,683
  6. Step 6: Final answer
    x = 774,753.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.