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Finding the Third Proportional to 421,722 and 918,318.38

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Solution

The third proportional to 421,722 and 918,318.38 is: 1,999,679.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,722 : 918,318.38 = 918,318.38 : x
  2. Step 2: Convert to fraction form
    421,722/918,318.38 = 918,318.38/x
  3. Step 3: Cross multiply
    421,722x = 918,318.38 × 918,318.38
  4. Step 4: Simplify right side
    421,722x = 843,308,637,862.64
  5. Step 5: Solve for x
    x = 843,308,637,862.64/421,722
  6. Step 6: Final answer
    x = 1,999,679.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.