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Finding the Third Proportional to 201,806 and 428,210

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Solution

The third proportional to 201,806 and 428,210 is: 908,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,806 : 428,210 = 428,210 : x
  2. Step 2: Convert to fraction form
    201,806/428,210 = 428,210/x
  3. Step 3: Cross multiply
    201,806x = 428,210 × 428,210
  4. Step 4: Simplify right side
    201,806x = 183,363,804,100
  5. Step 5: Solve for x
    x = 183,363,804,100/201,806
  6. Step 6: Final answer
    x = 908,614.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.