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Finding the Third Proportional to 117,740 and 257,944

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Solution

The third proportional to 117,740 and 257,944 is: 565,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,740 : 257,944 = 257,944 : x
  2. Step 2: Convert to fraction form
    117,740/257,944 = 257,944/x
  3. Step 3: Cross multiply
    117,740x = 257,944 × 257,944
  4. Step 4: Simplify right side
    117,740x = 66,535,107,136
  5. Step 5: Solve for x
    x = 66,535,107,136/117,740
  6. Step 6: Final answer
    x = 565,101.98

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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.