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Finding the Third Proportional to 139,139 and 209,999.75

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Solution

The third proportional to 139,139 and 209,999.75 is: 316,948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,139 : 209,999.75 = 209,999.75 : x
  2. Step 2: Convert to fraction form
    139,139/209,999.75 = 209,999.75/x
  3. Step 3: Cross multiply
    139,139x = 209,999.75 × 209,999.75
  4. Step 4: Simplify right side
    139,139x = 44,099,895,000.06
  5. Step 5: Solve for x
    x = 44,099,895,000.06/139,139
  6. Step 6: Final answer
    x = 316,948.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.