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Finding the Third Proportional to 210,963 and 429,759

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Solution

The third proportional to 210,963 and 429,759 is: 875,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,963 : 429,759 = 429,759 : x
  2. Step 2: Convert to fraction form
    210,963/429,759 = 429,759/x
  3. Step 3: Cross multiply
    210,963x = 429,759 × 429,759
  4. Step 4: Simplify right side
    210,963x = 184,692,798,081
  5. Step 5: Solve for x
    x = 184,692,798,081/210,963
  6. Step 6: Final answer
    x = 875,474.84

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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.