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Finding the Third Proportional to 474,200 and 727,089

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Solution

The third proportional to 474,200 and 727,089 is: 1,114,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,200 : 727,089 = 727,089 : x
  2. Step 2: Convert to fraction form
    474,200/727,089 = 727,089/x
  3. Step 3: Cross multiply
    474,200x = 727,089 × 727,089
  4. Step 4: Simplify right side
    474,200x = 528,658,413,921
  5. Step 5: Solve for x
    x = 528,658,413,921/474,200
  6. Step 6: Final answer
    x = 1,114,842.71

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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.