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Finding the Third Proportional to 39,690 and 52,913

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Solution

The third proportional to 39,690 and 52,913 is: 70,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,690 : 52,913 = 52,913 : x
  2. Step 2: Convert to fraction form
    39,690/52,913 = 52,913/x
  3. Step 3: Cross multiply
    39,690x = 52,913 × 52,913
  4. Step 4: Simplify right side
    39,690x = 2,799,785,569
  5. Step 5: Solve for x
    x = 2,799,785,569/39,690
  6. Step 6: Final answer
    x = 70,541.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.