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Finding the Third Proportional to 256,758 and 531,498

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Solution

The third proportional to 256,758 and 531,498 is: 1,100,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,758 : 531,498 = 531,498 : x
  2. Step 2: Convert to fraction form
    256,758/531,498 = 531,498/x
  3. Step 3: Cross multiply
    256,758x = 531,498 × 531,498
  4. Step 4: Simplify right side
    256,758x = 282,490,124,004
  5. Step 5: Solve for x
    x = 282,490,124,004/256,758
  6. Step 6: Final answer
    x = 1,100,219.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.