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Finding the Third Proportional to 77,484 and 163,672

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Solution

The third proportional to 77,484 and 163,672 is: 345,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,484 : 163,672 = 163,672 : x
  2. Step 2: Convert to fraction form
    77,484/163,672 = 163,672/x
  3. Step 3: Cross multiply
    77,484x = 163,672 × 163,672
  4. Step 4: Simplify right side
    77,484x = 26,788,523,584
  5. Step 5: Solve for x
    x = 26,788,523,584/77,484
  6. Step 6: Final answer
    x = 345,729.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.