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Finding the Third Proportional to 631,008 and 1,378,464

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Solution

The third proportional to 631,008 and 1,378,464 is: 3,011,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,008 : 1,378,464 = 1,378,464 : x
  2. Step 2: Convert to fraction form
    631,008/1,378,464 = 1,378,464/x
  3. Step 3: Cross multiply
    631,008x = 1,378,464 × 1,378,464
  4. Step 4: Simplify right side
    631,008x = 1,900,162,999,296
  5. Step 5: Solve for x
    x = 1,900,162,999,296/631,008
  6. Step 6: Final answer
    x = 3,011,313.64

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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.