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Finding the Third Proportional to 612,772 and 919,806

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Solution

The third proportional to 612,772 and 919,806 is: 1,380,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,772 : 919,806 = 919,806 : x
  2. Step 2: Convert to fraction form
    612,772/919,806 = 919,806/x
  3. Step 3: Cross multiply
    612,772x = 919,806 × 919,806
  4. Step 4: Simplify right side
    612,772x = 846,043,077,636
  5. Step 5: Solve for x
    x = 846,043,077,636/612,772
  6. Step 6: Final answer
    x = 1,380,681.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.