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Finding the Third Proportional to 256,616 and 369,648

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Solution

The third proportional to 256,616 and 369,648 is: 532,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,616 : 369,648 = 369,648 : x
  2. Step 2: Convert to fraction form
    256,616/369,648 = 369,648/x
  3. Step 3: Cross multiply
    256,616x = 369,648 × 369,648
  4. Step 4: Simplify right side
    256,616x = 136,639,643,904
  5. Step 5: Solve for x
    x = 136,639,643,904/256,616
  6. Step 6: Final answer
    x = 532,467.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.