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Finding the Third Proportional to 423,274 and 574,851

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Solution

The third proportional to 423,274 and 574,851 is: 780,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,274 : 574,851 = 574,851 : x
  2. Step 2: Convert to fraction form
    423,274/574,851 = 574,851/x
  3. Step 3: Cross multiply
    423,274x = 574,851 × 574,851
  4. Step 4: Simplify right side
    423,274x = 330,453,672,201
  5. Step 5: Solve for x
    x = 330,453,672,201/423,274
  6. Step 6: Final answer
    x = 780,708.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.