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Finding the Third Proportional to 273,989 and 429,915

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Solution

The third proportional to 273,989 and 429,915 is: 674,577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,989 : 429,915 = 429,915 : x
  2. Step 2: Convert to fraction form
    273,989/429,915 = 429,915/x
  3. Step 3: Cross multiply
    273,989x = 429,915 × 429,915
  4. Step 4: Simplify right side
    273,989x = 184,826,907,225
  5. Step 5: Solve for x
    x = 184,826,907,225/273,989
  6. Step 6: Final answer
    x = 674,577.84

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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.