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Finding the Third Proportional to 42,602 and 66,693

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Solution

The third proportional to 42,602 and 66,693 is: 104,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,602 : 66,693 = 66,693 : x
  2. Step 2: Convert to fraction form
    42,602/66,693 = 66,693/x
  3. Step 3: Cross multiply
    42,602x = 66,693 × 66,693
  4. Step 4: Simplify right side
    42,602x = 4,447,956,249
  5. Step 5: Solve for x
    x = 4,447,956,249/42,602
  6. Step 6: Final answer
    x = 104,407.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.