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Finding the Third Proportional to 368,976 and 556,856

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Solution

The third proportional to 368,976 and 556,856 is: 840,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,976 : 556,856 = 556,856 : x
  2. Step 2: Convert to fraction form
    368,976/556,856 = 556,856/x
  3. Step 3: Cross multiply
    368,976x = 556,856 × 556,856
  4. Step 4: Simplify right side
    368,976x = 310,088,604,736
  5. Step 5: Solve for x
    x = 310,088,604,736/368,976
  6. Step 6: Final answer
    x = 840,403.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.