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Finding the Third Proportional to 401,157.75 and 589,458

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Solution

The third proportional to 401,157.75 and 589,458 is: 866,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,157.75 : 589,458 = 589,458 : x
  2. Step 2: Convert to fraction form
    401,157.75/589,458 = 589,458/x
  3. Step 3: Cross multiply
    401,157.75x = 589,458 × 589,458
  4. Step 4: Simplify right side
    401,157.75x = 347,460,733,764
  5. Step 5: Solve for x
    x = 347,460,733,764/401,157.75
  6. Step 6: Final answer
    x = 866,144.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.