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Finding the Third Proportional to 210,969 and 429,772

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Solution

The third proportional to 210,969 and 429,772 is: 875,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,969 : 429,772 = 429,772 : x
  2. Step 2: Convert to fraction form
    210,969/429,772 = 429,772/x
  3. Step 3: Cross multiply
    210,969x = 429,772 × 429,772
  4. Step 4: Simplify right side
    210,969x = 184,703,971,984
  5. Step 5: Solve for x
    x = 184,703,971,984/210,969
  6. Step 6: Final answer
    x = 875,502.90

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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.