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Finding the Third Proportional to 273,987 and 429,913

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Solution

The third proportional to 273,987 and 429,913 is: 674,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,987 : 429,913 = 429,913 : x
  2. Step 2: Convert to fraction form
    273,987/429,913 = 429,913/x
  3. Step 3: Cross multiply
    273,987x = 429,913 × 429,913
  4. Step 4: Simplify right side
    273,987x = 184,825,187,569
  5. Step 5: Solve for x
    x = 184,825,187,569/273,987
  6. Step 6: Final answer
    x = 674,576.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.