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Finding the Third Proportional to 135,308 and 289,390

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Solution

The third proportional to 135,308 and 289,390 is: 618,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,308 : 289,390 = 289,390 : x
  2. Step 2: Convert to fraction form
    135,308/289,390 = 289,390/x
  3. Step 3: Cross multiply
    135,308x = 289,390 × 289,390
  4. Step 4: Simplify right side
    135,308x = 83,746,572,100
  5. Step 5: Solve for x
    x = 83,746,572,100/135,308
  6. Step 6: Final answer
    x = 618,932.89

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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.