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Finding the Third Proportional to 144,628 and 311,453

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Solution

The third proportional to 144,628 and 311,453 is: 670,706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,628 : 311,453 = 311,453 : x
  2. Step 2: Convert to fraction form
    144,628/311,453 = 311,453/x
  3. Step 3: Cross multiply
    144,628x = 311,453 × 311,453
  4. Step 4: Simplify right side
    144,628x = 97,002,971,209
  5. Step 5: Solve for x
    x = 97,002,971,209/144,628
  6. Step 6: Final answer
    x = 670,706.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.