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Finding the Third Proportional to 261,826.31 and 400,354.31

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Solution

The third proportional to 261,826.31 and 400,354.31 is: 612,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,826.31 : 400,354.31 = 400,354.31 : x
  2. Step 2: Convert to fraction form
    261,826.31/400,354.31 = 400,354.31/x
  3. Step 3: Cross multiply
    261,826.31x = 400,354.31 × 400,354.31
  4. Step 4: Simplify right side
    261,826.31x = 160,283,575,537.35
  5. Step 5: Solve for x
    x = 160,283,575,537.35/261,826.31
  6. Step 6: Final answer
    x = 612,175.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.