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Finding the Third Proportional to 419,303.25 and 558,646.88

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Solution

The third proportional to 419,303.25 and 558,646.88 is: 744,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,303.25 : 558,646.88 = 558,646.88 : x
  2. Step 2: Convert to fraction form
    419,303.25/558,646.88 = 558,646.88/x
  3. Step 3: Cross multiply
    419,303.25x = 558,646.88 × 558,646.88
  4. Step 4: Simplify right side
    419,303.25x = 312,086,330,947.27
  5. Step 5: Solve for x
    x = 312,086,330,947.27/419,303.25
  6. Step 6: Final answer
    x = 744,297.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.