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Finding the Third Proportional to 200,985 and 312,546

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Solution

The third proportional to 200,985 and 312,546 is: 486,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,985 : 312,546 = 312,546 : x
  2. Step 2: Convert to fraction form
    200,985/312,546 = 312,546/x
  3. Step 3: Cross multiply
    200,985x = 312,546 × 312,546
  4. Step 4: Simplify right side
    200,985x = 97,685,002,116
  5. Step 5: Solve for x
    x = 97,685,002,116/200,985
  6. Step 6: Final answer
    x = 486,031.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.