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Finding the Third Proportional to 631,628 and 1,381,357

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Solution

The third proportional to 631,628 and 1,381,357 is: 3,020,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,628 : 1,381,357 = 1,381,357 : x
  2. Step 2: Convert to fraction form
    631,628/1,381,357 = 1,381,357/x
  3. Step 3: Cross multiply
    631,628x = 1,381,357 × 1,381,357
  4. Step 4: Simplify right side
    631,628x = 1,908,147,161,449
  5. Step 5: Solve for x
    x = 1,908,147,161,449/631,628
  6. Step 6: Final answer
    x = 3,020,998.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.