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Finding the Third Proportional to 342,486 and 546,939

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Solution

The third proportional to 342,486 and 546,939 is: 873,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,486 : 546,939 = 546,939 : x
  2. Step 2: Convert to fraction form
    342,486/546,939 = 546,939/x
  3. Step 3: Cross multiply
    342,486x = 546,939 × 546,939
  4. Step 4: Simplify right side
    342,486x = 299,142,269,721
  5. Step 5: Solve for x
    x = 299,142,269,721/342,486
  6. Step 6: Final answer
    x = 873,443.79

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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.