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Finding the Third Proportional to 520,650 and 804,570

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Solution

The third proportional to 520,650 and 804,570 is: 1,243,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,650 : 804,570 = 804,570 : x
  2. Step 2: Convert to fraction form
    520,650/804,570 = 804,570/x
  3. Step 3: Cross multiply
    520,650x = 804,570 × 804,570
  4. Step 4: Simplify right side
    520,650x = 647,332,884,900
  5. Step 5: Solve for x
    x = 647,332,884,900/520,650
  6. Step 6: Final answer
    x = 1,243,316.79

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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.