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Finding the Third Proportional to 256,740.75 and 547,828.88

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Solution

The third proportional to 256,740.75 and 547,828.88 is: 1,168,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,740.75 : 547,828.88 = 547,828.88 : x
  2. Step 2: Convert to fraction form
    256,740.75/547,828.88 = 547,828.88/x
  3. Step 3: Cross multiply
    256,740.75x = 547,828.88 × 547,828.88
  4. Step 4: Simplify right side
    256,740.75x = 300,116,476,283.77
  5. Step 5: Solve for x
    x = 300,116,476,283.77/256,740.75
  6. Step 6: Final answer
    x = 1,168,947.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.