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Finding the Third Proportional to 142,605 and 305,455

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Solution

The third proportional to 142,605 and 305,455 is: 654,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,605 : 305,455 = 305,455 : x
  2. Step 2: Convert to fraction form
    142,605/305,455 = 305,455/x
  3. Step 3: Cross multiply
    142,605x = 305,455 × 305,455
  4. Step 4: Simplify right side
    142,605x = 93,302,757,025
  5. Step 5: Solve for x
    x = 93,302,757,025/142,605
  6. Step 6: Final answer
    x = 654,274.09

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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.