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Finding the Third Proportional to 422,866.31 and 655,779.75

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Solution

The third proportional to 422,866.31 and 655,779.75 is: 1,016,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,866.31 : 655,779.75 = 655,779.75 : x
  2. Step 2: Convert to fraction form
    422,866.31/655,779.75 = 655,779.75/x
  3. Step 3: Cross multiply
    422,866.31x = 655,779.75 × 655,779.75
  4. Step 4: Simplify right side
    422,866.31x = 430,047,080,510.06
  5. Step 5: Solve for x
    x = 430,047,080,510.06/422,866.31
  6. Step 6: Final answer
    x = 1,016,981.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.