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Finding the Third Proportional to 287,133.75 and 421,821

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Solution

The third proportional to 287,133.75 and 421,821 is: 619,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,133.75 : 421,821 = 421,821 : x
  2. Step 2: Convert to fraction form
    287,133.75/421,821 = 421,821/x
  3. Step 3: Cross multiply
    287,133.75x = 421,821 × 421,821
  4. Step 4: Simplify right side
    287,133.75x = 177,932,956,041
  5. Step 5: Solve for x
    x = 177,932,956,041/287,133.75
  6. Step 6: Final answer
    x = 619,686.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.