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Finding the Third Proportional to 354,992 and 772,178

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Solution

The third proportional to 354,992 and 772,178 is: 1,679,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,992 : 772,178 = 772,178 : x
  2. Step 2: Convert to fraction form
    354,992/772,178 = 772,178/x
  3. Step 3: Cross multiply
    354,992x = 772,178 × 772,178
  4. Step 4: Simplify right side
    354,992x = 596,258,863,684
  5. Step 5: Solve for x
    x = 596,258,863,684/354,992
  6. Step 6: Final answer
    x = 1,679,640.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.