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Finding the Third Proportional to 178,430 and 384,713

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Solution

The third proportional to 178,430 and 384,713 is: 829,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,430 : 384,713 = 384,713 : x
  2. Step 2: Convert to fraction form
    178,430/384,713 = 384,713/x
  3. Step 3: Cross multiply
    178,430x = 384,713 × 384,713
  4. Step 4: Simplify right side
    178,430x = 148,004,092,369
  5. Step 5: Solve for x
    x = 148,004,092,369/178,430
  6. Step 6: Final answer
    x = 829,479.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.