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Finding the Third Proportional to 147,121.41 and 311,900.06

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Solution

The third proportional to 147,121.41 and 311,900.06 is: 661,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,121.41 : 311,900.06 = 311,900.06 : x
  2. Step 2: Convert to fraction form
    147,121.41/311,900.06 = 311,900.06/x
  3. Step 3: Cross multiply
    147,121.41x = 311,900.06 × 311,900.06
  4. Step 4: Simplify right side
    147,121.41x = 97,281,648,987.50
  5. Step 5: Solve for x
    x = 97,281,648,987.50/147,121.41
  6. Step 6: Final answer
    x = 661,233.82

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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.