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Finding the Third Proportional to 139,833 and 209,709

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Solution

The third proportional to 139,833 and 209,709 is: 314,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,833 : 209,709 = 209,709 : x
  2. Step 2: Convert to fraction form
    139,833/209,709 = 209,709/x
  3. Step 3: Cross multiply
    139,833x = 209,709 × 209,709
  4. Step 4: Simplify right side
    139,833x = 43,977,864,681
  5. Step 5: Solve for x
    x = 43,977,864,681/139,833
  6. Step 6: Final answer
    x = 314,502.76

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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.