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Finding the Third Proportional to 330,560 and 723,400

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Solution

The third proportional to 330,560 and 723,400 is: 1,583,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,560 : 723,400 = 723,400 : x
  2. Step 2: Convert to fraction form
    330,560/723,400 = 723,400/x
  3. Step 3: Cross multiply
    330,560x = 723,400 × 723,400
  4. Step 4: Simplify right side
    330,560x = 523,307,560,000
  5. Step 5: Solve for x
    x = 523,307,560,000/330,560
  6. Step 6: Final answer
    x = 1,583,094.02

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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.