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Finding the Third Proportional to 256,206.38 and 382,239

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Solution

The third proportional to 256,206.38 and 382,239 is: 570,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,206.38 : 382,239 = 382,239 : x
  2. Step 2: Convert to fraction form
    256,206.38/382,239 = 382,239/x
  3. Step 3: Cross multiply
    256,206.38x = 382,239 × 382,239
  4. Step 4: Simplify right side
    256,206.38x = 146,106,653,121
  5. Step 5: Solve for x
    x = 146,106,653,121/256,206.38
  6. Step 6: Final answer
    x = 570,269.39

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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.