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Finding the Third Proportional to 678,851 and 935,122

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Solution

The third proportional to 678,851 and 935,122 is: 1,288,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,851 : 935,122 = 935,122 : x
  2. Step 2: Convert to fraction form
    678,851/935,122 = 935,122/x
  3. Step 3: Cross multiply
    678,851x = 935,122 × 935,122
  4. Step 4: Simplify right side
    678,851x = 874,453,154,884
  5. Step 5: Solve for x
    x = 874,453,154,884/678,851
  6. Step 6: Final answer
    x = 1,288,137.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.