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Finding the Third Proportional to 259,632.56 and 545,506.31

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Solution

The third proportional to 259,632.56 and 545,506.31 is: 1,146,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,632.56 : 545,506.31 = 545,506.31 : x
  2. Step 2: Convert to fraction form
    259,632.56/545,506.31 = 545,506.31/x
  3. Step 3: Cross multiply
    259,632.56x = 545,506.31 × 545,506.31
  4. Step 4: Simplify right side
    259,632.56x = 297,577,136,977.35
  5. Step 5: Solve for x
    x = 297,577,136,977.35/259,632.56
  6. Step 6: Final answer
    x = 1,146,147.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.