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Finding the Third Proportional to 268,312 and 553,904

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Solution

The third proportional to 268,312 and 553,904 is: 1,143,480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,312 : 553,904 = 553,904 : x
  2. Step 2: Convert to fraction form
    268,312/553,904 = 553,904/x
  3. Step 3: Cross multiply
    268,312x = 553,904 × 553,904
  4. Step 4: Simplify right side
    268,312x = 306,809,641,216
  5. Step 5: Solve for x
    x = 306,809,641,216/268,312
  6. Step 6: Final answer
    x = 1,143,480.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.