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Finding the Third Proportional to 135,476 and 289,634

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Solution

The third proportional to 135,476 and 289,634 is: 619,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,476 : 289,634 = 289,634 : x
  2. Step 2: Convert to fraction form
    135,476/289,634 = 289,634/x
  3. Step 3: Cross multiply
    135,476x = 289,634 × 289,634
  4. Step 4: Simplify right side
    135,476x = 83,887,853,956
  5. Step 5: Solve for x
    x = 83,887,853,956/135,476
  6. Step 6: Final answer
    x = 619,208.23

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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.