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Finding the Third Proportional to 144,398 and 316,695

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Solution

The third proportional to 144,398 and 316,695 is: 694,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,398 : 316,695 = 316,695 : x
  2. Step 2: Convert to fraction form
    144,398/316,695 = 316,695/x
  3. Step 3: Cross multiply
    144,398x = 316,695 × 316,695
  4. Step 4: Simplify right side
    144,398x = 100,295,723,025
  5. Step 5: Solve for x
    x = 100,295,723,025/144,398
  6. Step 6: Final answer
    x = 694,578.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.