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Finding the Third Proportional to 368,339 and 553,879

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Solution

The third proportional to 368,339 and 553,879 is: 832,879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,339 : 553,879 = 553,879 : x
  2. Step 2: Convert to fraction form
    368,339/553,879 = 553,879/x
  3. Step 3: Cross multiply
    368,339x = 553,879 × 553,879
  4. Step 4: Simplify right side
    368,339x = 306,781,946,641
  5. Step 5: Solve for x
    x = 306,781,946,641/368,339
  6. Step 6: Final answer
    x = 832,879.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.