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Finding the Third Proportional to 419,947.88 and 646,357.50

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Solution

The third proportional to 419,947.88 and 646,357.50 is: 994,833.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,947.88 : 646,357.50 = 646,357.50 : x
  2. Step 2: Convert to fraction form
    419,947.88/646,357.50 = 646,357.50/x
  3. Step 3: Cross multiply
    419,947.88x = 646,357.50 × 646,357.50
  4. Step 4: Simplify right side
    419,947.88x = 417,778,017,806.25
  5. Step 5: Solve for x
    x = 417,778,017,806.25/419,947.88
  6. Step 6: Final answer
    x = 994,833.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.