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Finding the Third Proportional to 142,881 and 305,446

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Solution

The third proportional to 142,881 and 305,446 is: 652,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,881 : 305,446 = 305,446 : x
  2. Step 2: Convert to fraction form
    142,881/305,446 = 305,446/x
  3. Step 3: Cross multiply
    142,881x = 305,446 × 305,446
  4. Step 4: Simplify right side
    142,881x = 93,297,258,916
  5. Step 5: Solve for x
    x = 93,297,258,916/142,881
  6. Step 6: Final answer
    x = 652,971.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.