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Finding the Third Proportional to 134,360 and 289,456

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Solution

The third proportional to 134,360 and 289,456 is: 623,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,360 : 289,456 = 289,456 : x
  2. Step 2: Convert to fraction form
    134,360/289,456 = 289,456/x
  3. Step 3: Cross multiply
    134,360x = 289,456 × 289,456
  4. Step 4: Simplify right side
    134,360x = 83,784,775,936
  5. Step 5: Solve for x
    x = 83,784,775,936/134,360
  6. Step 6: Final answer
    x = 623,584.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.