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Finding the Third Proportional to 75,680 and 164,484

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Solution

The third proportional to 75,680 and 164,484 is: 357,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,680 : 164,484 = 164,484 : x
  2. Step 2: Convert to fraction form
    75,680/164,484 = 164,484/x
  3. Step 3: Cross multiply
    75,680x = 164,484 × 164,484
  4. Step 4: Simplify right side
    75,680x = 27,054,986,256
  5. Step 5: Solve for x
    x = 27,054,986,256/75,680
  6. Step 6: Final answer
    x = 357,491.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.