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Finding the Third Proportional to 116,256 and 251,106

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Solution

The third proportional to 116,256 and 251,106 is: 542,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,256 : 251,106 = 251,106 : x
  2. Step 2: Convert to fraction form
    116,256/251,106 = 251,106/x
  3. Step 3: Cross multiply
    116,256x = 251,106 × 251,106
  4. Step 4: Simplify right side
    116,256x = 63,054,223,236
  5. Step 5: Solve for x
    x = 63,054,223,236/116,256
  6. Step 6: Final answer
    x = 542,373.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.