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Finding the Third Proportional to 301,284 and 399,844.50

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Solution

The third proportional to 301,284 and 399,844.50 is: 530,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,284 : 399,844.50 = 399,844.50 : x
  2. Step 2: Convert to fraction form
    301,284/399,844.50 = 399,844.50/x
  3. Step 3: Cross multiply
    301,284x = 399,844.50 × 399,844.50
  4. Step 4: Simplify right side
    301,284x = 159,875,624,180.25
  5. Step 5: Solve for x
    x = 159,875,624,180.25/301,284
  6. Step 6: Final answer
    x = 530,647.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.