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Finding the Third Proportional to 85,436 and 197,786

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Solution

The third proportional to 85,436 and 197,786 is: 457,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,436 : 197,786 = 197,786 : x
  2. Step 2: Convert to fraction form
    85,436/197,786 = 197,786/x
  3. Step 3: Cross multiply
    85,436x = 197,786 × 197,786
  4. Step 4: Simplify right side
    85,436x = 39,119,301,796
  5. Step 5: Solve for x
    x = 39,119,301,796/85,436
  6. Step 6: Final answer
    x = 457,878.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.