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Finding the Third Proportional to 39,139 and 55,952

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Solution

The third proportional to 39,139 and 55,952 is: 79,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,139 : 55,952 = 55,952 : x
  2. Step 2: Convert to fraction form
    39,139/55,952 = 55,952/x
  3. Step 3: Cross multiply
    39,139x = 55,952 × 55,952
  4. Step 4: Simplify right side
    39,139x = 3,130,626,304
  5. Step 5: Solve for x
    x = 3,130,626,304/39,139
  6. Step 6: Final answer
    x = 79,987.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.