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Finding the Third Proportional to 206,899.31 and 278,045.16

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Solution

The third proportional to 206,899.31 and 278,045.16 is: 373,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,899.31 : 278,045.16 = 278,045.16 : x
  2. Step 2: Convert to fraction form
    206,899.31/278,045.16 = 278,045.16/x
  3. Step 3: Cross multiply
    206,899.31x = 278,045.16 × 278,045.16
  4. Step 4: Simplify right side
    206,899.31x = 77,309,108,914.09
  5. Step 5: Solve for x
    x = 77,309,108,914.09/206,899.31
  6. Step 6: Final answer
    x = 373,655.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.