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Finding the Third Proportional to 612,104 and 935,692

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Solution

The third proportional to 612,104 and 935,692 is: 1,430,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,104 : 935,692 = 935,692 : x
  2. Step 2: Convert to fraction form
    612,104/935,692 = 935,692/x
  3. Step 3: Cross multiply
    612,104x = 935,692 × 935,692
  4. Step 4: Simplify right side
    612,104x = 875,519,518,864
  5. Step 5: Solve for x
    x = 875,519,518,864/612,104
  6. Step 6: Final answer
    x = 1,430,344.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.