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Finding the Third Proportional to 30,013 and 64,839

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Solution

The third proportional to 30,013 and 64,839 is: 140,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013 : 64,839 = 64,839 : x
  2. Step 2: Convert to fraction form
    30,013/64,839 = 64,839/x
  3. Step 3: Cross multiply
    30,013x = 64,839 × 64,839
  4. Step 4: Simplify right side
    30,013x = 4,204,095,921
  5. Step 5: Solve for x
    x = 4,204,095,921/30,013
  6. Step 6: Final answer
    x = 140,075.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.