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Finding the Third Proportional to 368,417 and 553,992

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Solution

The third proportional to 368,417 and 553,992 is: 833,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,417 : 553,992 = 553,992 : x
  2. Step 2: Convert to fraction form
    368,417/553,992 = 553,992/x
  3. Step 3: Cross multiply
    368,417x = 553,992 × 553,992
  4. Step 4: Simplify right side
    368,417x = 306,907,136,064
  5. Step 5: Solve for x
    x = 306,907,136,064/368,417
  6. Step 6: Final answer
    x = 833,042.82

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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.