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Finding the Third Proportional to 286,690 and 430,144

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Solution

The third proportional to 286,690 and 430,144 is: 645,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,690 : 430,144 = 430,144 : x
  2. Step 2: Convert to fraction form
    286,690/430,144 = 430,144/x
  3. Step 3: Cross multiply
    286,690x = 430,144 × 430,144
  4. Step 4: Simplify right side
    286,690x = 185,023,860,736
  5. Step 5: Solve for x
    x = 185,023,860,736/286,690
  6. Step 6: Final answer
    x = 645,379.54

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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.