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Finding the Third Proportional to 368,420 and 553,996

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Solution

The third proportional to 368,420 and 553,996 is: 833,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,420 : 553,996 = 553,996 : x
  2. Step 2: Convert to fraction form
    368,420/553,996 = 553,996/x
  3. Step 3: Cross multiply
    368,420x = 553,996 × 553,996
  4. Step 4: Simplify right side
    368,420x = 306,911,568,016
  5. Step 5: Solve for x
    x = 306,911,568,016/368,420
  6. Step 6: Final answer
    x = 833,048.06

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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.