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Finding the Third Proportional to 386,752 and 819,904

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Solution

The third proportional to 386,752 and 819,904 is: 1,738,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,752 : 819,904 = 819,904 : x
  2. Step 2: Convert to fraction form
    386,752/819,904 = 819,904/x
  3. Step 3: Cross multiply
    386,752x = 819,904 × 819,904
  4. Step 4: Simplify right side
    386,752x = 672,242,569,216
  5. Step 5: Solve for x
    x = 672,242,569,216/386,752
  6. Step 6: Final answer
    x = 1,738,174.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.