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Finding the Third Proportional to 192,564 and 289,440

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Solution

The third proportional to 192,564 and 289,440 is: 435,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,564 : 289,440 = 289,440 : x
  2. Step 2: Convert to fraction form
    192,564/289,440 = 289,440/x
  3. Step 3: Cross multiply
    192,564x = 289,440 × 289,440
  4. Step 4: Simplify right side
    192,564x = 83,775,513,600
  5. Step 5: Solve for x
    x = 83,775,513,600/192,564
  6. Step 6: Final answer
    x = 435,052.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.