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Finding the Third Proportional to 139,478.34 and 208,677.09

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Solution

The third proportional to 139,478.34 and 208,677.09 is: 312,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,478.34 : 208,677.09 = 208,677.09 : x
  2. Step 2: Convert to fraction form
    139,478.34/208,677.09 = 208,677.09/x
  3. Step 3: Cross multiply
    139,478.34x = 208,677.09 × 208,677.09
  4. Step 4: Simplify right side
    139,478.34x = 43,546,129,455.95
  5. Step 5: Solve for x
    x = 43,546,129,455.95/139,478.34
  6. Step 6: Final answer
    x = 312,207.10

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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.