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Finding the Third Proportional to 319,636 and 689,087

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Solution

The third proportional to 319,636 and 689,087 is: 1,485,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,636 : 689,087 = 689,087 : x
  2. Step 2: Convert to fraction form
    319,636/689,087 = 689,087/x
  3. Step 3: Cross multiply
    319,636x = 689,087 × 689,087
  4. Step 4: Simplify right side
    319,636x = 474,840,893,569
  5. Step 5: Solve for x
    x = 474,840,893,569/319,636
  6. Step 6: Final answer
    x = 1,485,567.63

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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.