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Finding the Third Proportional to 117,779.25 and 257,988.38

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Solution

The third proportional to 117,779.25 and 257,988.38 is: 565,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,779.25 : 257,988.38 = 257,988.38 : x
  2. Step 2: Convert to fraction form
    117,779.25/257,988.38 = 257,988.38/x
  3. Step 3: Cross multiply
    117,779.25x = 257,988.38 × 257,988.38
  4. Step 4: Simplify right side
    117,779.25x = 66,558,001,635.14
  5. Step 5: Solve for x
    x = 66,558,001,635.14/117,779.25
  6. Step 6: Final answer
    x = 565,108.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.