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Finding the Third Proportional to 42,709 and 68,013

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Solution

The third proportional to 42,709 and 68,013 is: 108,308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,709 : 68,013 = 68,013 : x
  2. Step 2: Convert to fraction form
    42,709/68,013 = 68,013/x
  3. Step 3: Cross multiply
    42,709x = 68,013 × 68,013
  4. Step 4: Simplify right side
    42,709x = 4,625,768,169
  5. Step 5: Solve for x
    x = 4,625,768,169/42,709
  6. Step 6: Final answer
    x = 108,308.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.