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Finding the Third Proportional to 263,145 and 578,778

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Solution

The third proportional to 263,145 and 578,778 is: 1,273,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,145 : 578,778 = 578,778 : x
  2. Step 2: Convert to fraction form
    263,145/578,778 = 578,778/x
  3. Step 3: Cross multiply
    263,145x = 578,778 × 578,778
  4. Step 4: Simplify right side
    263,145x = 334,983,973,284
  5. Step 5: Solve for x
    x = 334,983,973,284/263,145
  6. Step 6: Final answer
    x = 1,273,001.48

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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.