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Finding the Third Proportional to 280,592 and 421,213

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Solution

The third proportional to 280,592 and 421,213 is: 632,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,592 : 421,213 = 421,213 : x
  2. Step 2: Convert to fraction form
    280,592/421,213 = 421,213/x
  3. Step 3: Cross multiply
    280,592x = 421,213 × 421,213
  4. Step 4: Simplify right side
    280,592x = 177,420,391,369
  5. Step 5: Solve for x
    x = 177,420,391,369/280,592
  6. Step 6: Final answer
    x = 632,307.38

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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.