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Finding the Third Proportional to 669,072 and 1,000,686

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Solution

The third proportional to 669,072 and 1,000,686 is: 1,496,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,072 : 1,000,686 = 1,000,686 : x
  2. Step 2: Convert to fraction form
    669,072/1,000,686 = 1,000,686/x
  3. Step 3: Cross multiply
    669,072x = 1,000,686 × 1,000,686
  4. Step 4: Simplify right side
    669,072x = 1,001,372,470,596
  5. Step 5: Solve for x
    x = 1,001,372,470,596/669,072
  6. Step 6: Final answer
    x = 1,496,658.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.