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Finding the Third Proportional to 101,838.48 and 154,068.19

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Solution

The third proportional to 101,838.48 and 154,068.19 is: 233,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,838.48 : 154,068.19 = 154,068.19 : x
  2. Step 2: Convert to fraction form
    101,838.48/154,068.19 = 154,068.19/x
  3. Step 3: Cross multiply
    101,838.48x = 154,068.19 × 154,068.19
  4. Step 4: Simplify right side
    101,838.48x = 23,737,006,399.54
  5. Step 5: Solve for x
    x = 23,737,006,399.54/101,838.48
  6. Step 6: Final answer
    x = 233,084.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.