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Finding the Third Proportional to 200,456 and 435,888

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Solution

The third proportional to 200,456 and 435,888 is: 947,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,456 : 435,888 = 435,888 : x
  2. Step 2: Convert to fraction form
    200,456/435,888 = 435,888/x
  3. Step 3: Cross multiply
    200,456x = 435,888 × 435,888
  4. Step 4: Simplify right side
    200,456x = 189,998,348,544
  5. Step 5: Solve for x
    x = 189,998,348,544/200,456
  6. Step 6: Final answer
    x = 947,830.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.