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Finding the Third Proportional to 419,200.31 and 909,295.88

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Solution

The third proportional to 419,200.31 and 909,295.88 is: 1,972,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,200.31 : 909,295.88 = 909,295.88 : x
  2. Step 2: Convert to fraction form
    419,200.31/909,295.88 = 909,295.88/x
  3. Step 3: Cross multiply
    419,200.31x = 909,295.88 × 909,295.88
  4. Step 4: Simplify right side
    419,200.31x = 826,818,988,292.02
  5. Step 5: Solve for x
    x = 826,818,988,292.02/419,200.31
  6. Step 6: Final answer
    x = 1,972,372.07

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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.