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Finding the Third Proportional to 117,779.81 and 257,989.13

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Solution

The third proportional to 117,779.81 and 257,989.13 is: 565,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,779.81 : 257,989.13 = 257,989.13 : x
  2. Step 2: Convert to fraction form
    117,779.81/257,989.13 = 257,989.13/x
  3. Step 3: Cross multiply
    117,779.81x = 257,989.13 × 257,989.13
  4. Step 4: Simplify right side
    117,779.81x = 66,558,388,618.27
  5. Step 5: Solve for x
    x = 66,558,388,618.27/117,779.81
  6. Step 6: Final answer
    x = 565,108.63

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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.