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Finding the Third Proportional to 354,980 and 772,168

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Solution

The third proportional to 354,980 and 772,168 is: 1,679,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,980 : 772,168 = 772,168 : x
  2. Step 2: Convert to fraction form
    354,980/772,168 = 772,168/x
  3. Step 3: Cross multiply
    354,980x = 772,168 × 772,168
  4. Step 4: Simplify right side
    354,980x = 596,243,420,224
  5. Step 5: Solve for x
    x = 596,243,420,224/354,980
  6. Step 6: Final answer
    x = 1,679,653.56

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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.