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Finding the Third Proportional to 69,897.94 and 149,591.81

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Solution

The third proportional to 69,897.94 and 149,591.81 is: 320,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,897.94 : 149,591.81 = 149,591.81 : x
  2. Step 2: Convert to fraction form
    69,897.94/149,591.81 = 149,591.81/x
  3. Step 3: Cross multiply
    69,897.94x = 149,591.81 × 149,591.81
  4. Step 4: Simplify right side
    69,897.94x = 22,377,710,367.04
  5. Step 5: Solve for x
    x = 22,377,710,367.04/69,897.94
  6. Step 6: Final answer
    x = 320,148.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.