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Finding the Third Proportional to 150,003 and 210,967

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Solution

The third proportional to 150,003 and 210,967 is: 296,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,003 : 210,967 = 210,967 : x
  2. Step 2: Convert to fraction form
    150,003/210,967 = 210,967/x
  3. Step 3: Cross multiply
    150,003x = 210,967 × 210,967
  4. Step 4: Simplify right side
    150,003x = 44,507,075,089
  5. Step 5: Solve for x
    x = 44,507,075,089/150,003
  6. Step 6: Final answer
    x = 296,707.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.