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Finding the Third Proportional to 118,325.50 and 257,383

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Solution

The third proportional to 118,325.50 and 257,383 is: 559,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,325.50 : 257,383 = 257,383 : x
  2. Step 2: Convert to fraction form
    118,325.50/257,383 = 257,383/x
  3. Step 3: Cross multiply
    118,325.50x = 257,383 × 257,383
  4. Step 4: Simplify right side
    118,325.50x = 66,246,008,689
  5. Step 5: Solve for x
    x = 66,246,008,689/118,325.50
  6. Step 6: Final answer
    x = 559,862.49

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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.