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Finding the Third Proportional to 144,672 and 313,401

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Solution

The third proportional to 144,672 and 313,401 is: 678,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,672 : 313,401 = 313,401 : x
  2. Step 2: Convert to fraction form
    144,672/313,401 = 313,401/x
  3. Step 3: Cross multiply
    144,672x = 313,401 × 313,401
  4. Step 4: Simplify right side
    144,672x = 98,220,186,801
  5. Step 5: Solve for x
    x = 98,220,186,801/144,672
  6. Step 6: Final answer
    x = 678,916.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.