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Finding the Third Proportional to 256,484.25 and 440,084.25

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Solution

The third proportional to 256,484.25 and 440,084.25 is: 755,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,484.25 : 440,084.25 = 440,084.25 : x
  2. Step 2: Convert to fraction form
    256,484.25/440,084.25 = 440,084.25/x
  3. Step 3: Cross multiply
    256,484.25x = 440,084.25 × 440,084.25
  4. Step 4: Simplify right side
    256,484.25x = 193,674,147,098.06
  5. Step 5: Solve for x
    x = 193,674,147,098.06/256,484.25
  6. Step 6: Final answer
    x = 755,111.27

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.