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Finding the Third Proportional to 286,749 and 430,231.50

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Solution

The third proportional to 286,749 and 430,231.50 is: 645,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,749 : 430,231.50 = 430,231.50 : x
  2. Step 2: Convert to fraction form
    286,749/430,231.50 = 430,231.50/x
  3. Step 3: Cross multiply
    286,749x = 430,231.50 × 430,231.50
  4. Step 4: Simplify right side
    286,749x = 185,099,143,592.25
  5. Step 5: Solve for x
    x = 185,099,143,592.25/286,749
  6. Step 6: Final answer
    x = 645,509.29

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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.