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Finding the Third Proportional to 319,824 and 689,471

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Solution

The third proportional to 319,824 and 689,471 is: 1,486,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,824 : 689,471 = 689,471 : x
  2. Step 2: Convert to fraction form
    319,824/689,471 = 689,471/x
  3. Step 3: Cross multiply
    319,824x = 689,471 × 689,471
  4. Step 4: Simplify right side
    319,824x = 475,370,259,841
  5. Step 5: Solve for x
    x = 475,370,259,841/319,824
  6. Step 6: Final answer
    x = 1,486,349.55

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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.