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Finding the Third Proportional to 631,016 and 1,378,480

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Solution

The third proportional to 631,016 and 1,378,480 is: 3,011,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,016 : 1,378,480 = 1,378,480 : x
  2. Step 2: Convert to fraction form
    631,016/1,378,480 = 1,378,480/x
  3. Step 3: Cross multiply
    631,016x = 1,378,480 × 1,378,480
  4. Step 4: Simplify right side
    631,016x = 1,900,207,110,400
  5. Step 5: Solve for x
    x = 1,900,207,110,400/631,016
  6. Step 6: Final answer
    x = 3,011,345.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.