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Finding the Third Proportional to 117,732.75 and 257,712

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Solution

The third proportional to 117,732.75 and 257,712 is: 564,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,732.75 : 257,712 = 257,712 : x
  2. Step 2: Convert to fraction form
    117,732.75/257,712 = 257,712/x
  3. Step 3: Cross multiply
    117,732.75x = 257,712 × 257,712
  4. Step 4: Simplify right side
    117,732.75x = 66,415,474,944
  5. Step 5: Solve for x
    x = 66,415,474,944/117,732.75
  6. Step 6: Final answer
    x = 564,120.65

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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.