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Finding the Third Proportional to 144,423.55 and 311,682.46

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Solution

The third proportional to 144,423.55 and 311,682.46 is: 672,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,423.55 : 311,682.46 = 311,682.46 : x
  2. Step 2: Convert to fraction form
    144,423.55/311,682.46 = 311,682.46/x
  3. Step 3: Cross multiply
    144,423.55x = 311,682.46 × 311,682.46
  4. Step 4: Simplify right side
    144,423.55x = 97,145,957,673.56
  5. Step 5: Solve for x
    x = 97,145,957,673.56/144,423.55
  6. Step 6: Final answer
    x = 672,646.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.