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Finding the Third Proportional to 245,810 and 520,420

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Solution

The third proportional to 245,810 and 520,420 is: 1,101,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,810 : 520,420 = 520,420 : x
  2. Step 2: Convert to fraction form
    245,810/520,420 = 520,420/x
  3. Step 3: Cross multiply
    245,810x = 520,420 × 520,420
  4. Step 4: Simplify right side
    245,810x = 270,836,976,400
  5. Step 5: Solve for x
    x = 270,836,976,400/245,810
  6. Step 6: Final answer
    x = 1,101,814.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.