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Finding the Third Proportional to 210,462 and 435,891

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Solution

The third proportional to 210,462 and 435,891 is: 902,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,462 : 435,891 = 435,891 : x
  2. Step 2: Convert to fraction form
    210,462/435,891 = 435,891/x
  3. Step 3: Cross multiply
    210,462x = 435,891 × 435,891
  4. Step 4: Simplify right side
    210,462x = 190,000,963,881
  5. Step 5: Solve for x
    x = 190,000,963,881/210,462
  6. Step 6: Final answer
    x = 902,780.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.