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Finding the Third Proportional to 144,655 and 315,013

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Solution

The third proportional to 144,655 and 315,013 is: 685,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,655 : 315,013 = 315,013 : x
  2. Step 2: Convert to fraction form
    144,655/315,013 = 315,013/x
  3. Step 3: Cross multiply
    144,655x = 315,013 × 315,013
  4. Step 4: Simplify right side
    144,655x = 99,233,190,169
  5. Step 5: Solve for x
    x = 99,233,190,169/144,655
  6. Step 6: Final answer
    x = 685,999.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.