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Finding the Third Proportional to 261,969.19 and 410,080.22

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Solution

The third proportional to 261,969.19 and 410,080.22 is: 641,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,969.19 : 410,080.22 = 410,080.22 : x
  2. Step 2: Convert to fraction form
    261,969.19/410,080.22 = 410,080.22/x
  3. Step 3: Cross multiply
    261,969.19x = 410,080.22 × 410,080.22
  4. Step 4: Simplify right side
    261,969.19x = 168,165,785,810.05
  5. Step 5: Solve for x
    x = 168,165,785,810.05/261,969.19
  6. Step 6: Final answer
    x = 641,929.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.