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Finding the Third Proportional to 72,918 and 114,237

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Solution

The third proportional to 72,918 and 114,237 is: 178,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,918 : 114,237 = 114,237 : x
  2. Step 2: Convert to fraction form
    72,918/114,237 = 114,237/x
  3. Step 3: Cross multiply
    72,918x = 114,237 × 114,237
  4. Step 4: Simplify right side
    72,918x = 13,050,092,169
  5. Step 5: Solve for x
    x = 13,050,092,169/72,918
  6. Step 6: Final answer
    x = 178,969.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.