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Finding the Third Proportional to 280,999.13 and 421,507.50

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Solution

The third proportional to 280,999.13 and 421,507.50 is: 632,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,999.13 : 421,507.50 = 421,507.50 : x
  2. Step 2: Convert to fraction form
    280,999.13/421,507.50 = 421,507.50/x
  3. Step 3: Cross multiply
    280,999.13x = 421,507.50 × 421,507.50
  4. Step 4: Simplify right side
    280,999.13x = 177,668,572,556.25
  5. Step 5: Solve for x
    x = 177,668,572,556.25/280,999.13
  6. Step 6: Final answer
    x = 632,274.47

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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.