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Finding the Third Proportional to 603,178 and 918,901

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Solution

The third proportional to 603,178 and 918,901 is: 1,399,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,178 : 918,901 = 918,901 : x
  2. Step 2: Convert to fraction form
    603,178/918,901 = 918,901/x
  3. Step 3: Cross multiply
    603,178x = 918,901 × 918,901
  4. Step 4: Simplify right side
    603,178x = 844,379,047,801
  5. Step 5: Solve for x
    x = 844,379,047,801/603,178
  6. Step 6: Final answer
    x = 1,399,883.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.