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Finding the Third Proportional to 179,477.50 and 277,870.50

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Solution

The third proportional to 179,477.50 and 277,870.50 is: 430,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,477.50 : 277,870.50 = 277,870.50 : x
  2. Step 2: Convert to fraction form
    179,477.50/277,870.50 = 277,870.50/x
  3. Step 3: Cross multiply
    179,477.50x = 277,870.50 × 277,870.50
  4. Step 4: Simplify right side
    179,477.50x = 77,212,014,770.25
  5. Step 5: Solve for x
    x = 77,212,014,770.25/179,477.50
  6. Step 6: Final answer
    x = 430,204.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.