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Finding the Third Proportional to 319,648 and 689,112

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Solution

The third proportional to 319,648 and 689,112 is: 1,485,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,648 : 689,112 = 689,112 : x
  2. Step 2: Convert to fraction form
    319,648/689,112 = 689,112/x
  3. Step 3: Cross multiply
    319,648x = 689,112 × 689,112
  4. Step 4: Simplify right side
    319,648x = 474,875,348,544
  5. Step 5: Solve for x
    x = 474,875,348,544/319,648
  6. Step 6: Final answer
    x = 1,485,619.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.