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Finding the Third Proportional to 142,880 and 305,444

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Solution

The third proportional to 142,880 and 305,444 is: 652,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,880 : 305,444 = 305,444 : x
  2. Step 2: Convert to fraction form
    142,880/305,444 = 305,444/x
  3. Step 3: Cross multiply
    142,880x = 305,444 × 305,444
  4. Step 4: Simplify right side
    142,880x = 93,296,037,136
  5. Step 5: Solve for x
    x = 93,296,037,136/142,880
  6. Step 6: Final answer
    x = 652,967.79

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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.