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Finding the Third Proportional to 302,190.75 and 423,604.69

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Solution

The third proportional to 302,190.75 and 423,604.69 is: 593,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,190.75 : 423,604.69 = 423,604.69 : x
  2. Step 2: Convert to fraction form
    302,190.75/423,604.69 = 423,604.69/x
  3. Step 3: Cross multiply
    302,190.75x = 423,604.69 × 423,604.69
  4. Step 4: Simplify right side
    302,190.75x = 179,440,931,271.97
  5. Step 5: Solve for x
    x = 179,440,931,271.97/302,190.75
  6. Step 6: Final answer
    x = 593,800.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.