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Finding the Third Proportional to 649,728 and 999,964.13

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Solution

The third proportional to 649,728 and 999,964.13 is: 1,538,995.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,728 : 999,964.13 = 999,964.13 : x
  2. Step 2: Convert to fraction form
    649,728/999,964.13 = 999,964.13/x
  3. Step 3: Cross multiply
    649,728x = 999,964.13 × 999,964.13
  4. Step 4: Simplify right side
    649,728x = 999,928,251,287.02
  5. Step 5: Solve for x
    x = 999,928,251,287.02/649,728
  6. Step 6: Final answer
    x = 1,538,995.17

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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.