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Finding the Third Proportional to 142,062 and 289,021

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Solution

The third proportional to 142,062 and 289,021 is: 588,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,062 : 289,021 = 289,021 : x
  2. Step 2: Convert to fraction form
    142,062/289,021 = 289,021/x
  3. Step 3: Cross multiply
    142,062x = 289,021 × 289,021
  4. Step 4: Simplify right side
    142,062x = 83,533,138,441
  5. Step 5: Solve for x
    x = 83,533,138,441/142,062
  6. Step 6: Final answer
    x = 588,004.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.