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Finding the Third Proportional to 148,199.63 and 311,886.28

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Solution

The third proportional to 148,199.63 and 311,886.28 is: 656,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,199.63 : 311,886.28 = 311,886.28 : x
  2. Step 2: Convert to fraction form
    148,199.63/311,886.28 = 311,886.28/x
  3. Step 3: Cross multiply
    148,199.63x = 311,886.28 × 311,886.28
  4. Step 4: Simplify right side
    148,199.63x = 97,273,052,431.95
  5. Step 5: Solve for x
    x = 97,273,052,431.95/148,199.63
  6. Step 6: Final answer
    x = 656,365.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.