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Finding the Third Proportional to 355,970 and 550,995

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Solution

The third proportional to 355,970 and 550,995 is: 852,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,970 : 550,995 = 550,995 : x
  2. Step 2: Convert to fraction form
    355,970/550,995 = 550,995/x
  3. Step 3: Cross multiply
    355,970x = 550,995 × 550,995
  4. Step 4: Simplify right side
    355,970x = 303,595,490,025
  5. Step 5: Solve for x
    x = 303,595,490,025/355,970
  6. Step 6: Final answer
    x = 852,868.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.