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Finding the Third Proportional to 139,424 and 210,435

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Solution

The third proportional to 139,424 and 210,435 is: 317,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,424 : 210,435 = 210,435 : x
  2. Step 2: Convert to fraction form
    139,424/210,435 = 210,435/x
  3. Step 3: Cross multiply
    139,424x = 210,435 × 210,435
  4. Step 4: Simplify right side
    139,424x = 44,282,889,225
  5. Step 5: Solve for x
    x = 44,282,889,225/139,424
  6. Step 6: Final answer
    x = 317,613.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.