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Finding the Third Proportional to 139,410 and 210,414

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Solution

The third proportional to 139,410 and 210,414 is: 317,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,410 : 210,414 = 210,414 : x
  2. Step 2: Convert to fraction form
    139,410/210,414 = 210,414/x
  3. Step 3: Cross multiply
    139,410x = 210,414 × 210,414
  4. Step 4: Simplify right side
    139,410x = 44,274,051,396
  5. Step 5: Solve for x
    x = 44,274,051,396/139,410
  6. Step 6: Final answer
    x = 317,581.60

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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.