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Finding the Third Proportional to 39,639.38 and 61,509.38

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Solution

The third proportional to 39,639.38 and 61,509.38 is: 95,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,639.38 : 61,509.38 = 61,509.38 : x
  2. Step 2: Convert to fraction form
    39,639.38/61,509.38 = 61,509.38/x
  3. Step 3: Cross multiply
    39,639.38x = 61,509.38 × 61,509.38
  4. Step 4: Simplify right side
    39,639.38x = 3,783,403,212.89
  5. Step 5: Solve for x
    x = 3,783,403,212.89/39,639.38
  6. Step 6: Final answer
    x = 95,445.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.