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Finding the Third Proportional to 72,919 and 114,239

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Solution

The third proportional to 72,919 and 114,239 is: 178,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,919 : 114,239 = 114,239 : x
  2. Step 2: Convert to fraction form
    72,919/114,239 = 114,239/x
  3. Step 3: Cross multiply
    72,919x = 114,239 × 114,239
  4. Step 4: Simplify right side
    72,919x = 13,050,549,121
  5. Step 5: Solve for x
    x = 13,050,549,121/72,919
  6. Step 6: Final answer
    x = 178,973.23

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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.