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Finding the Third Proportional to 424,190 and 909,100

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Solution

The third proportional to 424,190 and 909,100 is: 1,948,331.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,190 : 909,100 = 909,100 : x
  2. Step 2: Convert to fraction form
    424,190/909,100 = 909,100/x
  3. Step 3: Cross multiply
    424,190x = 909,100 × 909,100
  4. Step 4: Simplify right side
    424,190x = 826,462,810,000
  5. Step 5: Solve for x
    x = 826,462,810,000/424,190
  6. Step 6: Final answer
    x = 1,948,331.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.