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Finding the Third Proportional to 545,240 and 827,670

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Solution

The third proportional to 545,240 and 827,670 is: 1,256,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,240 : 827,670 = 827,670 : x
  2. Step 2: Convert to fraction form
    545,240/827,670 = 827,670/x
  3. Step 3: Cross multiply
    545,240x = 827,670 × 827,670
  4. Step 4: Simplify right side
    545,240x = 685,037,628,900
  5. Step 5: Solve for x
    x = 685,037,628,900/545,240
  6. Step 6: Final answer
    x = 1,256,396.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.