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Finding the Third Proportional to 77,905.50 and 170,220

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Solution

The third proportional to 77,905.50 and 170,220 is: 371,923.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,905.50 : 170,220 = 170,220 : x
  2. Step 2: Convert to fraction form
    77,905.50/170,220 = 170,220/x
  3. Step 3: Cross multiply
    77,905.50x = 170,220 × 170,220
  4. Step 4: Simplify right side
    77,905.50x = 28,974,848,400
  5. Step 5: Solve for x
    x = 28,974,848,400/77,905.50
  6. Step 6: Final answer
    x = 371,923.01

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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.