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Finding the Third Proportional to 450,078 and 696,615

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Solution

The third proportional to 450,078 and 696,615 is: 1,078,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,078 : 696,615 = 696,615 : x
  2. Step 2: Convert to fraction form
    450,078/696,615 = 696,615/x
  3. Step 3: Cross multiply
    450,078x = 696,615 × 696,615
  4. Step 4: Simplify right side
    450,078x = 485,272,458,225
  5. Step 5: Solve for x
    x = 485,272,458,225/450,078
  6. Step 6: Final answer
    x = 1,078,196.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.