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Finding the Third Proportional to 121,670 and 182,018

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Solution

The third proportional to 121,670 and 182,018 is: 272,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,670 : 182,018 = 182,018 : x
  2. Step 2: Convert to fraction form
    121,670/182,018 = 182,018/x
  3. Step 3: Cross multiply
    121,670x = 182,018 × 182,018
  4. Step 4: Simplify right side
    121,670x = 33,130,552,324
  5. Step 5: Solve for x
    x = 33,130,552,324/121,670
  6. Step 6: Final answer
    x = 272,298.45

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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.