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Finding the Third Proportional to 210,965 and 429,764

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Solution

The third proportional to 210,965 and 429,764 is: 875,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,965 : 429,764 = 429,764 : x
  2. Step 2: Convert to fraction form
    210,965/429,764 = 429,764/x
  3. Step 3: Cross multiply
    210,965x = 429,764 × 429,764
  4. Step 4: Simplify right side
    210,965x = 184,697,095,696
  5. Step 5: Solve for x
    x = 184,697,095,696/210,965
  6. Step 6: Final answer
    x = 875,486.91

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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.