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Finding the Third Proportional to 118,404 and 257,700

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Solution

The third proportional to 118,404 and 257,700 is: 560,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,404 : 257,700 = 257,700 : x
  2. Step 2: Convert to fraction form
    118,404/257,700 = 257,700/x
  3. Step 3: Cross multiply
    118,404x = 257,700 × 257,700
  4. Step 4: Simplify right side
    118,404x = 66,409,290,000
  5. Step 5: Solve for x
    x = 66,409,290,000/118,404
  6. Step 6: Final answer
    x = 560,870.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.