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Finding the Third Proportional to 102,657.38 and 210,235.50

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Solution

The third proportional to 102,657.38 and 210,235.50 is: 430,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657.38 : 210,235.50 = 210,235.50 : x
  2. Step 2: Convert to fraction form
    102,657.38/210,235.50 = 210,235.50/x
  3. Step 3: Cross multiply
    102,657.38x = 210,235.50 × 210,235.50
  4. Step 4: Simplify right side
    102,657.38x = 44,198,965,460.25
  5. Step 5: Solve for x
    x = 44,198,965,460.25/102,657.38
  6. Step 6: Final answer
    x = 430,548.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.