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Finding the Third Proportional to 286,659 and 429,939.75

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Solution

The third proportional to 286,659 and 429,939.75 is: 644,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,659 : 429,939.75 = 429,939.75 : x
  2. Step 2: Convert to fraction form
    286,659/429,939.75 = 429,939.75/x
  3. Step 3: Cross multiply
    286,659x = 429,939.75 × 429,939.75
  4. Step 4: Simplify right side
    286,659x = 184,848,188,630.06
  5. Step 5: Solve for x
    x = 184,848,188,630.06/286,659
  6. Step 6: Final answer
    x = 644,836.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.