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Finding the Third Proportional to 520,628 and 804,537

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Solution

The third proportional to 520,628 and 804,537 is: 1,243,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,628 : 804,537 = 804,537 : x
  2. Step 2: Convert to fraction form
    520,628/804,537 = 804,537/x
  3. Step 3: Cross multiply
    520,628x = 804,537 × 804,537
  4. Step 4: Simplify right side
    520,628x = 647,279,784,369
  5. Step 5: Solve for x
    x = 647,279,784,369/520,628
  6. Step 6: Final answer
    x = 1,243,267.33

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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.