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Finding the Third Proportional to 302,015.75 and 423,328.50

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Solution

The third proportional to 302,015.75 and 423,328.50 is: 593,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,015.75 : 423,328.50 = 423,328.50 : x
  2. Step 2: Convert to fraction form
    302,015.75/423,328.50 = 423,328.50/x
  3. Step 3: Cross multiply
    302,015.75x = 423,328.50 × 423,328.50
  4. Step 4: Simplify right side
    302,015.75x = 179,207,018,912.25
  5. Step 5: Solve for x
    x = 179,207,018,912.25/302,015.75
  6. Step 6: Final answer
    x = 593,369.78

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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.