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Finding the Third Proportional to 178,948 and 389,385

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Solution

The third proportional to 178,948 and 389,385 is: 847,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,948 : 389,385 = 389,385 : x
  2. Step 2: Convert to fraction form
    178,948/389,385 = 389,385/x
  3. Step 3: Cross multiply
    178,948x = 389,385 × 389,385
  4. Step 4: Simplify right side
    178,948x = 151,620,678,225
  5. Step 5: Solve for x
    x = 151,620,678,225/178,948
  6. Step 6: Final answer
    x = 847,289.03

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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.