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Finding the Third Proportional to 256,858.88 and 409,071

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Solution

The third proportional to 256,858.88 and 409,071 is: 651,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,858.88 : 409,071 = 409,071 : x
  2. Step 2: Convert to fraction form
    256,858.88/409,071 = 409,071/x
  3. Step 3: Cross multiply
    256,858.88x = 409,071 × 409,071
  4. Step 4: Simplify right side
    256,858.88x = 167,339,083,041
  5. Step 5: Solve for x
    x = 167,339,083,041/256,858.88
  6. Step 6: Final answer
    x = 651,482.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.