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Finding the Third Proportional to 286,392 and 619,980

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Solution

The third proportional to 286,392 and 619,980 is: 1,342,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,392 : 619,980 = 619,980 : x
  2. Step 2: Convert to fraction form
    286,392/619,980 = 619,980/x
  3. Step 3: Cross multiply
    286,392x = 619,980 × 619,980
  4. Step 4: Simplify right side
    286,392x = 384,375,200,400
  5. Step 5: Solve for x
    x = 384,375,200,400/286,392
  6. Step 6: Final answer
    x = 1,342,129.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.