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Finding the Third Proportional to 144,439 and 311,719

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Solution

The third proportional to 144,439 and 311,719 is: 672,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,439 : 311,719 = 311,719 : x
  2. Step 2: Convert to fraction form
    144,439/311,719 = 311,719/x
  3. Step 3: Cross multiply
    144,439x = 311,719 × 311,719
  4. Step 4: Simplify right side
    144,439x = 97,168,734,961
  5. Step 5: Solve for x
    x = 97,168,734,961/144,439
  6. Step 6: Final answer
    x = 672,731.98

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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.