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Finding the Third Proportional to 178,970 and 389,916

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Solution

The third proportional to 178,970 and 389,916 is: 849,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,970 : 389,916 = 389,916 : x
  2. Step 2: Convert to fraction form
    178,970/389,916 = 389,916/x
  3. Step 3: Cross multiply
    178,970x = 389,916 × 389,916
  4. Step 4: Simplify right side
    178,970x = 152,034,487,056
  5. Step 5: Solve for x
    x = 152,034,487,056/178,970
  6. Step 6: Final answer
    x = 849,497.05

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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.