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Finding the Third Proportional to 267,779.25 and 391,406.63

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Solution

The third proportional to 267,779.25 and 391,406.63 is: 572,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,779.25 : 391,406.63 = 391,406.63 : x
  2. Step 2: Convert to fraction form
    267,779.25/391,406.63 = 391,406.63/x
  3. Step 3: Cross multiply
    267,779.25x = 391,406.63 × 391,406.63
  4. Step 4: Simplify right side
    267,779.25x = 153,199,146,093.89
  5. Step 5: Solve for x
    x = 153,199,146,093.89/267,779.25
  6. Step 6: Final answer
    x = 572,109.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.