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Finding the Third Proportional to 30,241 and 64,855

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Solution

The third proportional to 30,241 and 64,855 is: 139,088.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,241 : 64,855 = 64,855 : x
  2. Step 2: Convert to fraction form
    30,241/64,855 = 64,855/x
  3. Step 3: Cross multiply
    30,241x = 64,855 × 64,855
  4. Step 4: Simplify right side
    30,241x = 4,206,171,025
  5. Step 5: Solve for x
    x = 4,206,171,025/30,241
  6. Step 6: Final answer
    x = 139,088.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.