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Finding the Third Proportional to 319,822 and 689,467

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Solution

The third proportional to 319,822 and 689,467 is: 1,486,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,822 : 689,467 = 689,467 : x
  2. Step 2: Convert to fraction form
    319,822/689,467 = 689,467/x
  3. Step 3: Cross multiply
    319,822x = 689,467 × 689,467
  4. Step 4: Simplify right side
    319,822x = 475,364,744,089
  5. Step 5: Solve for x
    x = 475,364,744,089/319,822
  6. Step 6: Final answer
    x = 1,486,341.60

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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.