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Finding the Third Proportional to 121,921 and 174,011

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Solution

The third proportional to 121,921 and 174,011 is: 248,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,921 : 174,011 = 174,011 : x
  2. Step 2: Convert to fraction form
    121,921/174,011 = 174,011/x
  3. Step 3: Cross multiply
    121,921x = 174,011 × 174,011
  4. Step 4: Simplify right side
    121,921x = 30,279,828,121
  5. Step 5: Solve for x
    x = 30,279,828,121/121,921
  6. Step 6: Final answer
    x = 248,356.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.