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Finding the Third Proportional to 139,442 and 210,475

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Solution

The third proportional to 139,442 and 210,475 is: 317,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,442 : 210,475 = 210,475 : x
  2. Step 2: Convert to fraction form
    139,442/210,475 = 210,475/x
  3. Step 3: Cross multiply
    139,442x = 210,475 × 210,475
  4. Step 4: Simplify right side
    139,442x = 44,299,725,625
  5. Step 5: Solve for x
    x = 44,299,725,625/139,442
  6. Step 6: Final answer
    x = 317,692.84

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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.