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Finding the Third Proportional to 103,495.50 and 210,909.38

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Solution

The third proportional to 103,495.50 and 210,909.38 is: 429,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,495.50 : 210,909.38 = 210,909.38 : x
  2. Step 2: Convert to fraction form
    103,495.50/210,909.38 = 210,909.38/x
  3. Step 3: Cross multiply
    103,495.50x = 210,909.38 × 210,909.38
  4. Step 4: Simplify right side
    103,495.50x = 44,482,764,462.89
  5. Step 5: Solve for x
    x = 44,482,764,462.89/103,495.50
  6. Step 6: Final answer
    x = 429,803.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.