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Finding the Third Proportional to 649,728 and 999,964

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Solution

The third proportional to 649,728 and 999,964 is: 1,538,994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,728 : 999,964 = 999,964 : x
  2. Step 2: Convert to fraction form
    649,728/999,964 = 999,964/x
  3. Step 3: Cross multiply
    649,728x = 999,964 × 999,964
  4. Step 4: Simplify right side
    649,728x = 999,928,001,296
  5. Step 5: Solve for x
    x = 999,928,001,296/649,728
  6. Step 6: Final answer
    x = 1,538,994.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.