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Finding the Third Proportional to 71,740.69 and 105,418.97

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Solution

The third proportional to 71,740.69 and 105,418.97 is: 154,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,740.69 : 105,418.97 = 105,418.97 : x
  2. Step 2: Convert to fraction form
    71,740.69/105,418.97 = 105,418.97/x
  3. Step 3: Cross multiply
    71,740.69x = 105,418.97 × 105,418.97
  4. Step 4: Simplify right side
    71,740.69x = 11,113,158,972.31
  5. Step 5: Solve for x
    x = 11,113,158,972.31/71,740.69
  6. Step 6: Final answer
    x = 154,907.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.