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Finding the Third Proportional to 273,986 and 429,911.50

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Solution

The third proportional to 273,986 and 429,911.50 is: 674,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,986 : 429,911.50 = 429,911.50 : x
  2. Step 2: Convert to fraction form
    273,986/429,911.50 = 429,911.50/x
  3. Step 3: Cross multiply
    273,986x = 429,911.50 × 429,911.50
  4. Step 4: Simplify right side
    273,986x = 184,823,897,832.25
  5. Step 5: Solve for x
    x = 184,823,897,832.25/273,986
  6. Step 6: Final answer
    x = 674,574.24

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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.