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Finding the Third Proportional to 263,172 and 578,820

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Solution

The third proportional to 263,172 and 578,820 is: 1,273,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,172 : 578,820 = 578,820 : x
  2. Step 2: Convert to fraction form
    263,172/578,820 = 578,820/x
  3. Step 3: Cross multiply
    263,172x = 578,820 × 578,820
  4. Step 4: Simplify right side
    263,172x = 335,032,592,400
  5. Step 5: Solve for x
    x = 335,032,592,400/263,172
  6. Step 6: Final answer
    x = 1,273,055.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.