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Finding the Third Proportional to 144,179 and 316,425

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Solution

The third proportional to 144,179 and 316,425 is: 694,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,179 : 316,425 = 316,425 : x
  2. Step 2: Convert to fraction form
    144,179/316,425 = 316,425/x
  3. Step 3: Cross multiply
    144,179x = 316,425 × 316,425
  4. Step 4: Simplify right side
    144,179x = 100,124,780,625
  5. Step 5: Solve for x
    x = 100,124,780,625/144,179
  6. Step 6: Final answer
    x = 694,447.74

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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.