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Finding the Third Proportional to 144,211 and 310,609

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Solution

The third proportional to 144,211 and 310,609 is: 669,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,211 : 310,609 = 310,609 : x
  2. Step 2: Convert to fraction form
    144,211/310,609 = 310,609/x
  3. Step 3: Cross multiply
    144,211x = 310,609 × 310,609
  4. Step 4: Simplify right side
    144,211x = 96,477,950,881
  5. Step 5: Solve for x
    x = 96,477,950,881/144,211
  6. Step 6: Final answer
    x = 669,005.49

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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.