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Finding the Third Proportional to 256,556.50 and 402,458.75

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Solution

The third proportional to 256,556.50 and 402,458.75 is: 631,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,556.50 : 402,458.75 = 402,458.75 : x
  2. Step 2: Convert to fraction form
    256,556.50/402,458.75 = 402,458.75/x
  3. Step 3: Cross multiply
    256,556.50x = 402,458.75 × 402,458.75
  4. Step 4: Simplify right side
    256,556.50x = 161,973,045,451.56
  5. Step 5: Solve for x
    x = 161,973,045,451.56/256,556.50
  6. Step 6: Final answer
    x = 631,334.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.