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Finding the Third Proportional to 74,621 and 103,425

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Solution

The third proportional to 74,621 and 103,425 is: 143,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,621 : 103,425 = 103,425 : x
  2. Step 2: Convert to fraction form
    74,621/103,425 = 103,425/x
  3. Step 3: Cross multiply
    74,621x = 103,425 × 103,425
  4. Step 4: Simplify right side
    74,621x = 10,696,730,625
  5. Step 5: Solve for x
    x = 10,696,730,625/74,621
  6. Step 6: Final answer
    x = 143,347.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.