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Finding the Third Proportional to 319,815 and 688,851

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Solution

The third proportional to 319,815 and 688,851 is: 1,483,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,815 : 688,851 = 688,851 : x
  2. Step 2: Convert to fraction form
    319,815/688,851 = 688,851/x
  3. Step 3: Cross multiply
    319,815x = 688,851 × 688,851
  4. Step 4: Simplify right side
    319,815x = 474,515,700,201
  5. Step 5: Solve for x
    x = 474,515,700,201/319,815
  6. Step 6: Final answer
    x = 1,483,719.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.