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Finding the Third Proportional to 520,615 and 804,518

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Solution

The third proportional to 520,615 and 804,518 is: 1,243,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,615 : 804,518 = 804,518 : x
  2. Step 2: Convert to fraction form
    520,615/804,518 = 804,518/x
  3. Step 3: Cross multiply
    520,615x = 804,518 × 804,518
  4. Step 4: Simplify right side
    520,615x = 647,249,212,324
  5. Step 5: Solve for x
    x = 647,249,212,324/520,615
  6. Step 6: Final answer
    x = 1,243,239.65

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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.