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Finding the Third Proportional to 71,490.09 and 148,901.41

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Solution

The third proportional to 71,490.09 and 148,901.41 is: 310,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,490.09 : 148,901.41 = 148,901.41 : x
  2. Step 2: Convert to fraction form
    71,490.09/148,901.41 = 148,901.41/x
  3. Step 3: Cross multiply
    71,490.09x = 148,901.41 × 148,901.41
  4. Step 4: Simplify right side
    71,490.09x = 22,171,631,109.81
  5. Step 5: Solve for x
    x = 22,171,631,109.81/71,490.09
  6. Step 6: Final answer
    x = 310,135.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.