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Finding the Third Proportional to 178,728 and 392,878.50

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Solution

The third proportional to 178,728 and 392,878.50 is: 863,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,728 : 392,878.50 = 392,878.50 : x
  2. Step 2: Convert to fraction form
    178,728/392,878.50 = 392,878.50/x
  3. Step 3: Cross multiply
    178,728x = 392,878.50 × 392,878.50
  4. Step 4: Simplify right side
    178,728x = 154,353,515,762.25
  5. Step 5: Solve for x
    x = 154,353,515,762.25/178,728
  6. Step 6: Final answer
    x = 863,622.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.