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Finding the Third Proportional to 200,085 and 305,210

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Solution

The third proportional to 200,085 and 305,210 is: 465,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,085 : 305,210 = 305,210 : x
  2. Step 2: Convert to fraction form
    200,085/305,210 = 305,210/x
  3. Step 3: Cross multiply
    200,085x = 305,210 × 305,210
  4. Step 4: Simplify right side
    200,085x = 93,153,144,100
  5. Step 5: Solve for x
    x = 93,153,144,100/200,085
  6. Step 6: Final answer
    x = 465,567.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.