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Finding the Third Proportional to 144,426 and 311,687

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Solution

The third proportional to 144,426 and 311,687 is: 672,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,426 : 311,687 = 311,687 : x
  2. Step 2: Convert to fraction form
    144,426/311,687 = 311,687/x
  3. Step 3: Cross multiply
    144,426x = 311,687 × 311,687
  4. Step 4: Simplify right side
    144,426x = 97,148,785,969
  5. Step 5: Solve for x
    x = 97,148,785,969/144,426
  6. Step 6: Final answer
    x = 672,654.41

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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.