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Finding the Third Proportional to 263,178 and 578,840

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Solution

The third proportional to 263,178 and 578,840 is: 1,273,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,178 : 578,840 = 578,840 : x
  2. Step 2: Convert to fraction form
    263,178/578,840 = 578,840/x
  3. Step 3: Cross multiply
    263,178x = 578,840 × 578,840
  4. Step 4: Simplify right side
    263,178x = 335,055,745,600
  5. Step 5: Solve for x
    x = 335,055,745,600/263,178
  6. Step 6: Final answer
    x = 1,273,114.57

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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.