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Finding the Third Proportional to 197,213 and 320,411

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Solution

The third proportional to 197,213 and 320,411 is: 520,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,213 : 320,411 = 320,411 : x
  2. Step 2: Convert to fraction form
    197,213/320,411 = 320,411/x
  3. Step 3: Cross multiply
    197,213x = 320,411 × 320,411
  4. Step 4: Simplify right side
    197,213x = 102,663,208,921
  5. Step 5: Solve for x
    x = 102,663,208,921/197,213
  6. Step 6: Final answer
    x = 520,570.19

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.