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Finding the Third Proportional to 419,200 and 909,289

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Solution

The third proportional to 419,200 and 909,289 is: 1,972,343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,200 : 909,289 = 909,289 : x
  2. Step 2: Convert to fraction form
    419,200/909,289 = 909,289/x
  3. Step 3: Cross multiply
    419,200x = 909,289 × 909,289
  4. Step 4: Simplify right side
    419,200x = 826,806,485,521
  5. Step 5: Solve for x
    x = 826,806,485,521/419,200
  6. Step 6: Final answer
    x = 1,972,343.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.