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Finding the Third Proportional to 356,472 and 518,656

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Solution

The third proportional to 356,472 and 518,656 is: 754,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,472 : 518,656 = 518,656 : x
  2. Step 2: Convert to fraction form
    356,472/518,656 = 518,656/x
  3. Step 3: Cross multiply
    356,472x = 518,656 × 518,656
  4. Step 4: Simplify right side
    356,472x = 269,004,046,336
  5. Step 5: Solve for x
    x = 269,004,046,336/356,472
  6. Step 6: Final answer
    x = 754,628.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.