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Finding the Third Proportional to 342,474 and 546,921

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Solution

The third proportional to 342,474 and 546,921 is: 873,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,474 : 546,921 = 546,921 : x
  2. Step 2: Convert to fraction form
    342,474/546,921 = 546,921/x
  3. Step 3: Cross multiply
    342,474x = 546,921 × 546,921
  4. Step 4: Simplify right side
    342,474x = 299,122,580,241
  5. Step 5: Solve for x
    x = 299,122,580,241/342,474
  6. Step 6: Final answer
    x = 873,416.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.