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Finding the Third Proportional to 157,905 and 222,391

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Solution

The third proportional to 157,905 and 222,391 is: 313,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,905 : 222,391 = 222,391 : x
  2. Step 2: Convert to fraction form
    157,905/222,391 = 222,391/x
  3. Step 3: Cross multiply
    157,905x = 222,391 × 222,391
  4. Step 4: Simplify right side
    157,905x = 49,457,756,881
  5. Step 5: Solve for x
    x = 49,457,756,881/157,905
  6. Step 6: Final answer
    x = 313,212.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.