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Finding the Third Proportional to 368,710 and 504,603

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Solution

The third proportional to 368,710 and 504,603 is: 690,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,710 : 504,603 = 504,603 : x
  2. Step 2: Convert to fraction form
    368,710/504,603 = 504,603/x
  3. Step 3: Cross multiply
    368,710x = 504,603 × 504,603
  4. Step 4: Simplify right side
    368,710x = 254,624,187,609
  5. Step 5: Solve for x
    x = 254,624,187,609/368,710
  6. Step 6: Final answer
    x = 690,581.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.