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Finding the Third Proportional to 312,640 and 483,904

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Solution

The third proportional to 312,640 and 483,904 is: 748,986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,640 : 483,904 = 483,904 : x
  2. Step 2: Convert to fraction form
    312,640/483,904 = 483,904/x
  3. Step 3: Cross multiply
    312,640x = 483,904 × 483,904
  4. Step 4: Simplify right side
    312,640x = 234,163,081,216
  5. Step 5: Solve for x
    x = 234,163,081,216/312,640
  6. Step 6: Final answer
    x = 748,986.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.