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Finding the Third Proportional to 256,258.69 and 382,309.88

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Solution

The third proportional to 256,258.69 and 382,309.88 is: 570,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,258.69 : 382,309.88 = 382,309.88 : x
  2. Step 2: Convert to fraction form
    256,258.69/382,309.88 = 382,309.88/x
  3. Step 3: Cross multiply
    256,258.69x = 382,309.88 × 382,309.88
  4. Step 4: Simplify right side
    256,258.69x = 146,160,840,522.52
  5. Step 5: Solve for x
    x = 146,160,840,522.52/256,258.69
  6. Step 6: Final answer
    x = 570,364.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.