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Finding the Third Proportional to 256,859.63 and 409,072.13

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Solution

The third proportional to 256,859.63 and 409,072.13 is: 651,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,859.63 : 409,072.13 = 409,072.13 : x
  2. Step 2: Convert to fraction form
    256,859.63/409,072.13 = 409,072.13/x
  3. Step 3: Cross multiply
    256,859.63x = 409,072.13 × 409,072.13
  4. Step 4: Simplify right side
    256,859.63x = 167,340,003,452.02
  5. Step 5: Solve for x
    x = 167,340,003,452.02/256,859.63
  6. Step 6: Final answer
    x = 651,484.26

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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.