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Finding the Third Proportional to 374,151 and 818,172

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Solution

The third proportional to 374,151 and 818,172 is: 1,789,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,151 : 818,172 = 818,172 : x
  2. Step 2: Convert to fraction form
    374,151/818,172 = 818,172/x
  3. Step 3: Cross multiply
    374,151x = 818,172 × 818,172
  4. Step 4: Simplify right side
    374,151x = 669,405,421,584
  5. Step 5: Solve for x
    x = 669,405,421,584/374,151
  6. Step 6: Final answer
    x = 1,789,131.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.