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Finding the Third Proportional to 210,964 and 429,761

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Solution

The third proportional to 210,964 and 429,761 is: 875,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,964 : 429,761 = 429,761 : x
  2. Step 2: Convert to fraction form
    210,964/429,761 = 429,761/x
  3. Step 3: Cross multiply
    210,964x = 429,761 × 429,761
  4. Step 4: Simplify right side
    210,964x = 184,694,517,121
  5. Step 5: Solve for x
    x = 184,694,517,121/210,964
  6. Step 6: Final answer
    x = 875,478.84

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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.