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Finding the Third Proportional to 128,779.56 and 283,252.10

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Solution

The third proportional to 128,779.56 and 283,252.10 is: 623,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,779.56 : 283,252.10 = 283,252.10 : x
  2. Step 2: Convert to fraction form
    128,779.56/283,252.10 = 283,252.10/x
  3. Step 3: Cross multiply
    128,779.56x = 283,252.10 × 283,252.10
  4. Step 4: Simplify right side
    128,779.56x = 80,231,749,720.21
  5. Step 5: Solve for x
    x = 80,231,749,720.21/128,779.56
  6. Step 6: Final answer
    x = 623,016.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.