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Finding the Third Proportional to 39,506 and 55,899

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Solution

The third proportional to 39,506 and 55,899 is: 79,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,506 : 55,899 = 55,899 : x
  2. Step 2: Convert to fraction form
    39,506/55,899 = 55,899/x
  3. Step 3: Cross multiply
    39,506x = 55,899 × 55,899
  4. Step 4: Simplify right side
    39,506x = 3,124,698,201
  5. Step 5: Solve for x
    x = 3,124,698,201/39,506
  6. Step 6: Final answer
    x = 79,094.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.