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Finding the Third Proportional to 280,773 and 421,021.50

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Solution

The third proportional to 280,773 and 421,021.50 is: 631,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,773 : 421,021.50 = 421,021.50 : x
  2. Step 2: Convert to fraction form
    280,773/421,021.50 = 421,021.50/x
  3. Step 3: Cross multiply
    280,773x = 421,021.50 × 421,021.50
  4. Step 4: Simplify right side
    280,773x = 177,259,103,462.25
  5. Step 5: Solve for x
    x = 177,259,103,462.25/280,773
  6. Step 6: Final answer
    x = 631,325.32

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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.