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Finding the Third Proportional to 330,880 and 724,352

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Solution

The third proportional to 330,880 and 724,352 is: 1,585,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,880 : 724,352 = 724,352 : x
  2. Step 2: Convert to fraction form
    330,880/724,352 = 724,352/x
  3. Step 3: Cross multiply
    330,880x = 724,352 × 724,352
  4. Step 4: Simplify right side
    330,880x = 524,685,819,904
  5. Step 5: Solve for x
    x = 524,685,819,904/330,880
  6. Step 6: Final answer
    x = 1,585,728.42

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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.