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Finding the Third Proportional to 258,555.50 and 379,313

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Solution

The third proportional to 258,555.50 and 379,313 is: 556,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,555.50 : 379,313 = 379,313 : x
  2. Step 2: Convert to fraction form
    258,555.50/379,313 = 379,313/x
  3. Step 3: Cross multiply
    258,555.50x = 379,313 × 379,313
  4. Step 4: Simplify right side
    258,555.50x = 143,878,351,969
  5. Step 5: Solve for x
    x = 143,878,351,969/258,555.50
  6. Step 6: Final answer
    x = 556,469.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.