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Finding the Third Proportional to 273,985 and 429,909

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Solution

The third proportional to 273,985 and 429,909 is: 674,568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,985 : 429,909 = 429,909 : x
  2. Step 2: Convert to fraction form
    273,985/429,909 = 429,909/x
  3. Step 3: Cross multiply
    273,985x = 429,909 × 429,909
  4. Step 4: Simplify right side
    273,985x = 184,821,748,281
  5. Step 5: Solve for x
    x = 184,821,748,281/273,985
  6. Step 6: Final answer
    x = 674,568.86

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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.