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Finding the Third Proportional to 389,752 and 839,664

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Solution

The third proportional to 389,752 and 839,664 is: 1,808,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,752 : 839,664 = 839,664 : x
  2. Step 2: Convert to fraction form
    389,752/839,664 = 839,664/x
  3. Step 3: Cross multiply
    389,752x = 839,664 × 839,664
  4. Step 4: Simplify right side
    389,752x = 705,035,632,896
  5. Step 5: Solve for x
    x = 705,035,632,896/389,752
  6. Step 6: Final answer
    x = 1,808,933.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.