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Finding the Third Proportional to 330,410 and 724,144

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Solution

The third proportional to 330,410 and 724,144 is: 1,587,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,410 : 724,144 = 724,144 : x
  2. Step 2: Convert to fraction form
    330,410/724,144 = 724,144/x
  3. Step 3: Cross multiply
    330,410x = 724,144 × 724,144
  4. Step 4: Simplify right side
    330,410x = 524,384,532,736
  5. Step 5: Solve for x
    x = 524,384,532,736/330,410
  6. Step 6: Final answer
    x = 1,587,072.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.