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Finding the Third Proportional to 121,448 and 295,172

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Solution

The third proportional to 121,448 and 295,172 is: 717,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,448 : 295,172 = 295,172 : x
  2. Step 2: Convert to fraction form
    121,448/295,172 = 295,172/x
  3. Step 3: Cross multiply
    121,448x = 295,172 × 295,172
  4. Step 4: Simplify right side
    121,448x = 87,126,509,584
  5. Step 5: Solve for x
    x = 87,126,509,584/121,448
  6. Step 6: Final answer
    x = 717,397.65

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.