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Finding the Third Proportional to 164,517 and 357,221

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Solution

The third proportional to 164,517 and 357,221 is: 775,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,517 : 357,221 = 357,221 : x
  2. Step 2: Convert to fraction form
    164,517/357,221 = 357,221/x
  3. Step 3: Cross multiply
    164,517x = 357,221 × 357,221
  4. Step 4: Simplify right side
    164,517x = 127,606,842,841
  5. Step 5: Solve for x
    x = 127,606,842,841/164,517
  6. Step 6: Final answer
    x = 775,645.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.