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Finding the Third Proportional to 77,899 and 170,211

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Solution

The third proportional to 77,899 and 170,211 is: 371,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,899 : 170,211 = 170,211 : x
  2. Step 2: Convert to fraction form
    77,899/170,211 = 170,211/x
  3. Step 3: Cross multiply
    77,899x = 170,211 × 170,211
  4. Step 4: Simplify right side
    77,899x = 28,971,784,521
  5. Step 5: Solve for x
    x = 28,971,784,521/77,899
  6. Step 6: Final answer
    x = 371,914.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.