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Finding the Third Proportional to 147,121.50 and 311,898.38

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Solution

The third proportional to 147,121.50 and 311,898.38 is: 661,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,121.50 : 311,898.38 = 311,898.38 : x
  2. Step 2: Convert to fraction form
    147,121.50/311,898.38 = 311,898.38/x
  3. Step 3: Cross multiply
    147,121.50x = 311,898.38 × 311,898.38
  4. Step 4: Simplify right side
    147,121.50x = 97,280,596,327.64
  5. Step 5: Solve for x
    x = 97,280,596,327.64/147,121.50
  6. Step 6: Final answer
    x = 661,226.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.