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Finding the Third Proportional to 75,438 and 164,700

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Solution

The third proportional to 75,438 and 164,700 is: 359,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,438 : 164,700 = 164,700 : x
  2. Step 2: Convert to fraction form
    75,438/164,700 = 164,700/x
  3. Step 3: Cross multiply
    75,438x = 164,700 × 164,700
  4. Step 4: Simplify right side
    75,438x = 27,126,090,000
  5. Step 5: Solve for x
    x = 27,126,090,000/75,438
  6. Step 6: Final answer
    x = 359,581.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.