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Finding the Third Proportional to 144,242 and 311,476

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Solution

The third proportional to 144,242 and 311,476 is: 672,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,242 : 311,476 = 311,476 : x
  2. Step 2: Convert to fraction form
    144,242/311,476 = 311,476/x
  3. Step 3: Cross multiply
    144,242x = 311,476 × 311,476
  4. Step 4: Simplify right side
    144,242x = 97,017,298,576
  5. Step 5: Solve for x
    x = 97,017,298,576/144,242
  6. Step 6: Final answer
    x = 672,600.90

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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.