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Finding the Third Proportional to 319,691 and 689,242

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Solution

The third proportional to 319,691 and 689,242 is: 1,485,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,691 : 689,242 = 689,242 : x
  2. Step 2: Convert to fraction form
    319,691/689,242 = 689,242/x
  3. Step 3: Cross multiply
    319,691x = 689,242 × 689,242
  4. Step 4: Simplify right side
    319,691x = 475,054,534,564
  5. Step 5: Solve for x
    x = 475,054,534,564/319,691
  6. Step 6: Final answer
    x = 1,485,980.32

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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.