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Finding the Third Proportional to 39,772 and 53,822

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Solution

The third proportional to 39,772 and 53,822 is: 72,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,772 : 53,822 = 53,822 : x
  2. Step 2: Convert to fraction form
    39,772/53,822 = 53,822/x
  3. Step 3: Cross multiply
    39,772x = 53,822 × 53,822
  4. Step 4: Simplify right side
    39,772x = 2,896,807,684
  5. Step 5: Solve for x
    x = 2,896,807,684/39,772
  6. Step 6: Final answer
    x = 72,835.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.