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Finding the Third Proportional to 139,532 and 208,752

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Solution

The third proportional to 139,532 and 208,752 is: 312,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,532 : 208,752 = 208,752 : x
  2. Step 2: Convert to fraction form
    139,532/208,752 = 208,752/x
  3. Step 3: Cross multiply
    139,532x = 208,752 × 208,752
  4. Step 4: Simplify right side
    139,532x = 43,577,397,504
  5. Step 5: Solve for x
    x = 43,577,397,504/139,532
  6. Step 6: Final answer
    x = 312,311.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.