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Finding the Third Proportional to 358,976 and 783,148

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Solution

The third proportional to 358,976 and 783,148 is: 1,708,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,976 : 783,148 = 783,148 : x
  2. Step 2: Convert to fraction form
    358,976/783,148 = 783,148/x
  3. Step 3: Cross multiply
    358,976x = 783,148 × 783,148
  4. Step 4: Simplify right side
    358,976x = 613,320,789,904
  5. Step 5: Solve for x
    x = 613,320,789,904/358,976
  6. Step 6: Final answer
    x = 1,708,528.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.