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Finding the Third Proportional to 117,216 and 257,664

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Solution

The third proportional to 117,216 and 257,664 is: 566,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,216 : 257,664 = 257,664 : x
  2. Step 2: Convert to fraction form
    117,216/257,664 = 257,664/x
  3. Step 3: Cross multiply
    117,216x = 257,664 × 257,664
  4. Step 4: Simplify right side
    117,216x = 66,390,736,896
  5. Step 5: Solve for x
    x = 66,390,736,896/117,216
  6. Step 6: Final answer
    x = 566,396.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.