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Finding the Third Proportional to 210,969 and 429,770

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Solution

The third proportional to 210,969 and 429,770 is: 875,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,969 : 429,770 = 429,770 : x
  2. Step 2: Convert to fraction form
    210,969/429,770 = 429,770/x
  3. Step 3: Cross multiply
    210,969x = 429,770 × 429,770
  4. Step 4: Simplify right side
    210,969x = 184,702,252,900
  5. Step 5: Solve for x
    x = 184,702,252,900/210,969
  6. Step 6: Final answer
    x = 875,494.75

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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.